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Finding the Fourth Proportional to 27,740.91, 41,613.65 and 9,016.11

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Solution

The fourth proportional to 27,740.91, 41,613.65 and 9,016.11 is: 13,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.91 : 41,613.65 = 9,016.11 : x
  2. Step 2: Convert to fraction form
    27,740.91/41,613.65 = 9,016.11/x
  3. Step 3: Cross multiply
    27,740.91x = 41,613.65 × 9,016.11
  4. Step 4: Simplify right side
    27,740.91x = 375,193,234.63
  5. Step 5: Solve for x
    x = 375,193,234.63/27,740.91
  6. Step 6: Final answer
    x = 13,524.91

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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.