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Finding the Fourth Proportional to 27,613.50, 38,129.10 and 22,509.82

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Solution

The fourth proportional to 27,613.50, 38,129.10 and 22,509.82 is: 31,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.50 : 38,129.10 = 22,509.82 : x
  2. Step 2: Convert to fraction form
    27,613.50/38,129.10 = 22,509.82/x
  3. Step 3: Cross multiply
    27,613.50x = 38,129.10 × 22,509.82
  4. Step 4: Simplify right side
    27,613.50x = 858,279,149.41
  5. Step 5: Solve for x
    x = 858,279,149.41/27,613.50
  6. Step 6: Final answer
    x = 31,081.87

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