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Finding the Fourth Proportional to 15,136.38, 22,703.65 and 5,646.87

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Solution

The fourth proportional to 15,136.38, 22,703.65 and 5,646.87 is: 8,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.38 : 22,703.65 = 5,646.87 : x
  2. Step 2: Convert to fraction form
    15,136.38/22,703.65 = 5,646.87/x
  3. Step 3: Cross multiply
    15,136.38x = 22,703.65 × 5,646.87
  4. Step 4: Simplify right side
    15,136.38x = 128,204,560.08
  5. Step 5: Solve for x
    x = 128,204,560.08/15,136.38
  6. Step 6: Final answer
    x = 8,469.96

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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.