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Finding the Fourth Proportional to 22,731.30, 34,102.30 and 7,148.92

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Solution

The fourth proportional to 22,731.30, 34,102.30 and 7,148.92 is: 10,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.30 : 34,102.30 = 7,148.92 : x
  2. Step 2: Convert to fraction form
    22,731.30/34,102.30 = 7,148.92/x
  3. Step 3: Cross multiply
    22,731.30x = 34,102.30 × 7,148.92
  4. Step 4: Simplify right side
    22,731.30x = 243,794,614.52
  5. Step 5: Solve for x
    x = 243,794,614.52/22,731.30
  6. Step 6: Final answer
    x = 10,725.06

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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.