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Finding the Fourth Proportional to 20,842.52, 31,208.42 and 16,294.25

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Solution

The fourth proportional to 20,842.52, 31,208.42 and 16,294.25 is: 24,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.52 : 31,208.42 = 16,294.25 : x
  2. Step 2: Convert to fraction form
    20,842.52/31,208.42 = 16,294.25/x
  3. Step 3: Cross multiply
    20,842.52x = 31,208.42 × 16,294.25
  4. Step 4: Simplify right side
    20,842.52x = 508,517,560.07
  5. Step 5: Solve for x
    x = 508,517,560.07/20,842.52
  6. Step 6: Final answer
    x = 24,398.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.