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Finding the Fourth Proportional to 19,519.92, 29,284.20 and 9,126

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Solution

The fourth proportional to 19,519.92, 29,284.20 and 9,126 is: 13,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519.92 : 29,284.20 = 9,126 : x
  2. Step 2: Convert to fraction form
    19,519.92/29,284.20 = 9,126/x
  3. Step 3: Cross multiply
    19,519.92x = 29,284.20 × 9,126
  4. Step 4: Simplify right side
    19,519.92x = 267,247,609.20
  5. Step 5: Solve for x
    x = 267,247,609.20/19,519.92
  6. Step 6: Final answer
    x = 13,691.02

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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.