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Finding the Fourth Proportional to 23,711.91, 32,725.72 and 13,640.17

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Solution

The fourth proportional to 23,711.91, 32,725.72 and 13,640.17 is: 18,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.91 : 32,725.72 = 13,640.17 : x
  2. Step 2: Convert to fraction form
    23,711.91/32,725.72 = 13,640.17/x
  3. Step 3: Cross multiply
    23,711.91x = 32,725.72 × 13,640.17
  4. Step 4: Simplify right side
    23,711.91x = 446,384,472.81
  5. Step 5: Solve for x
    x = 446,384,472.81/23,711.91
  6. Step 6: Final answer
    x = 18,825.32

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