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Finding the Fourth Proportional to 22,296.99, 30,769.14 and 12,225.18

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Solution

The fourth proportional to 22,296.99, 30,769.14 and 12,225.18 is: 16,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.99 : 30,769.14 = 12,225.18 : x
  2. Step 2: Convert to fraction form
    22,296.99/30,769.14 = 12,225.18/x
  3. Step 3: Cross multiply
    22,296.99x = 30,769.14 × 12,225.18
  4. Step 4: Simplify right side
    22,296.99x = 376,158,274.95
  5. Step 5: Solve for x
    x = 376,158,274.95/22,296.99
  6. Step 6: Final answer
    x = 16,870.36

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.