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Finding the Fourth Proportional to 23,527, 32,470.14 and 13,591

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Solution

The fourth proportional to 23,527, 32,470.14 and 13,591 is: 18,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527 : 32,470.14 = 13,591 : x
  2. Step 2: Convert to fraction form
    23,527/32,470.14 = 13,591/x
  3. Step 3: Cross multiply
    23,527x = 32,470.14 × 13,591
  4. Step 4: Simplify right side
    23,527x = 441,301,672.74
  5. Step 5: Solve for x
    x = 441,301,672.74/23,527
  6. Step 6: Final answer
    x = 18,757.24

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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.