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Finding the Fourth Proportional to 22,296.55, 30,769.47 and 12,737.70

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Solution

The fourth proportional to 22,296.55, 30,769.47 and 12,737.70 is: 17,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.55 : 30,769.47 = 12,737.70 : x
  2. Step 2: Convert to fraction form
    22,296.55/30,769.47 = 12,737.70/x
  3. Step 3: Cross multiply
    22,296.55x = 30,769.47 × 12,737.70
  4. Step 4: Simplify right side
    22,296.55x = 391,932,214.33
  5. Step 5: Solve for x
    x = 391,932,214.33/22,296.55
  6. Step 6: Final answer
    x = 17,578.16

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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.