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Finding the Fourth Proportional to 19,715.59, 29,539.97 and 11,908

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Solution

The fourth proportional to 19,715.59, 29,539.97 and 11,908 is: 17,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.59 : 29,539.97 = 11,908 : x
  2. Step 2: Convert to fraction form
    19,715.59/29,539.97 = 11,908/x
  3. Step 3: Cross multiply
    19,715.59x = 29,539.97 × 11,908
  4. Step 4: Simplify right side
    19,715.59x = 351,761,962.76
  5. Step 5: Solve for x
    x = 351,761,962.76/19,715.59
  6. Step 6: Final answer
    x = 17,841.82

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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.