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Finding the Fourth Proportional to 19,522.92, 29,288.70 and 9,129

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Solution

The fourth proportional to 19,522.92, 29,288.70 and 9,129 is: 13,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.92 : 29,288.70 = 9,129 : x
  2. Step 2: Convert to fraction form
    19,522.92/29,288.70 = 9,129/x
  3. Step 3: Cross multiply
    19,522.92x = 29,288.70 × 9,129
  4. Step 4: Simplify right side
    19,522.92x = 267,376,542.30
  5. Step 5: Solve for x
    x = 267,376,542.30/19,522.92
  6. Step 6: Final answer
    x = 13,695.52

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Why These Related Problems?

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