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Finding the Fourth Proportional to 22,732.71, 31,372.10 and 12,661.14

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Solution

The fourth proportional to 22,732.71, 31,372.10 and 12,661.14 is: 17,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.71 : 31,372.10 = 12,661.14 : x
  2. Step 2: Convert to fraction form
    22,732.71/31,372.10 = 12,661.14/x
  3. Step 3: Cross multiply
    22,732.71x = 31,372.10 × 12,661.14
  4. Step 4: Simplify right side
    22,732.71x = 397,206,550.19
  5. Step 5: Solve for x
    x = 397,206,550.19/22,732.71
  6. Step 6: Final answer
    x = 17,472.91

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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.