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Finding the Fourth Proportional to 30,839, 42,557.82 and 16,691.96

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Solution

The fourth proportional to 30,839, 42,557.82 and 16,691.96 is: 23,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839 : 42,557.82 = 16,691.96 : x
  2. Step 2: Convert to fraction form
    30,839/42,557.82 = 16,691.96/x
  3. Step 3: Cross multiply
    30,839x = 42,557.82 × 16,691.96
  4. Step 4: Simplify right side
    30,839x = 710,373,429.13
  5. Step 5: Solve for x
    x = 710,373,429.13/30,839
  6. Step 6: Final answer
    x = 23,034.90

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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.