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Finding the Fourth Proportional to 12,502.80, 18,737.82 and 5,098.50

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Solution

The fourth proportional to 12,502.80, 18,737.82 and 5,098.50 is: 7,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.80 : 18,737.82 = 5,098.50 : x
  2. Step 2: Convert to fraction form
    12,502.80/18,737.82 = 5,098.50/x
  3. Step 3: Cross multiply
    12,502.80x = 18,737.82 × 5,098.50
  4. Step 4: Simplify right side
    12,502.80x = 95,534,775.27
  5. Step 5: Solve for x
    x = 95,534,775.27/12,502.80
  6. Step 6: Final answer
    x = 7,641.07

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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.