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Finding the Fourth Proportional to 23,759.17, 32,801.24 and 17,742.49

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Solution

The fourth proportional to 23,759.17, 32,801.24 and 17,742.49 is: 24,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,759.17 : 32,801.24 = 17,742.49 : x
  2. Step 2: Convert to fraction form
    23,759.17/32,801.24 = 17,742.49/x
  3. Step 3: Cross multiply
    23,759.17x = 32,801.24 × 17,742.49
  4. Step 4: Simplify right side
    23,759.17x = 581,975,419.97
  5. Step 5: Solve for x
    x = 581,975,419.97/23,759.17
  6. Step 6: Final answer
    x = 24,494.78

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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.