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Finding the Fourth Proportional to 13,151.91, 18,149.76 and 7,486.38

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Solution

The fourth proportional to 13,151.91, 18,149.76 and 7,486.38 is: 10,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.91 : 18,149.76 = 7,486.38 : x
  2. Step 2: Convert to fraction form
    13,151.91/18,149.76 = 7,486.38/x
  3. Step 3: Cross multiply
    13,151.91x = 18,149.76 × 7,486.38
  4. Step 4: Simplify right side
    13,151.91x = 135,876,000.27
  5. Step 5: Solve for x
    x = 135,876,000.27/13,151.91
  6. Step 6: Final answer
    x = 10,331.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.