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Finding the Fourth Proportional to 22,732.50, 34,098.38 and 7,150.13

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Solution

The fourth proportional to 22,732.50, 34,098.38 and 7,150.13 is: 10,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.50 : 34,098.38 = 7,150.13 : x
  2. Step 2: Convert to fraction form
    22,732.50/34,098.38 = 7,150.13/x
  3. Step 3: Cross multiply
    22,732.50x = 34,098.38 × 7,150.13
  4. Step 4: Simplify right side
    22,732.50x = 243,807,849.79
  5. Step 5: Solve for x
    x = 243,807,849.79/22,732.50
  6. Step 6: Final answer
    x = 10,725.08

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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.