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Finding the Fourth Proportional to 23,539.14, 32,493.95 and 15,892.78

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Solution

The fourth proportional to 23,539.14, 32,493.95 and 15,892.78 is: 21,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.14 : 32,493.95 = 15,892.78 : x
  2. Step 2: Convert to fraction form
    23,539.14/32,493.95 = 15,892.78/x
  3. Step 3: Cross multiply
    23,539.14x = 32,493.95 × 15,892.78
  4. Step 4: Simplify right side
    23,539.14x = 516,419,154.48
  5. Step 5: Solve for x
    x = 516,419,154.48/23,539.14
  6. Step 6: Final answer
    x = 21,938.74

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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.