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Finding the Fourth Proportional to 22,296.71, 30,769.80 and 12,225.71

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Solution

The fourth proportional to 22,296.71, 30,769.80 and 12,225.71 is: 16,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.71 : 30,769.80 = 12,225.71 : x
  2. Step 2: Convert to fraction form
    22,296.71/30,769.80 = 12,225.71/x
  3. Step 3: Cross multiply
    22,296.71x = 30,769.80 × 12,225.71
  4. Step 4: Simplify right side
    22,296.71x = 376,182,651.56
  5. Step 5: Solve for x
    x = 376,182,651.56/22,296.71
  6. Step 6: Final answer
    x = 16,871.67

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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.