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Finding the Fourth Proportional to 19,419.96, 29,132.82 and 7,107

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Solution

The fourth proportional to 19,419.96, 29,132.82 and 7,107 is: 10,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.96 : 29,132.82 = 7,107 : x
  2. Step 2: Convert to fraction form
    19,419.96/29,132.82 = 7,107/x
  3. Step 3: Cross multiply
    19,419.96x = 29,132.82 × 7,107
  4. Step 4: Simplify right side
    19,419.96x = 207,046,951.74
  5. Step 5: Solve for x
    x = 207,046,951.74/19,419.96
  6. Step 6: Final answer
    x = 10,661.55

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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.