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Finding the Fourth Proportional to 27,700.92, 41,514.12 and 10,154.16

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Solution

The fourth proportional to 27,700.92, 41,514.12 and 10,154.16 is: 15,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.92 : 41,514.12 = 10,154.16 : x
  2. Step 2: Convert to fraction form
    27,700.92/41,514.12 = 10,154.16/x
  3. Step 3: Cross multiply
    27,700.92x = 41,514.12 × 10,154.16
  4. Step 4: Simplify right side
    27,700.92x = 421,541,016.74
  5. Step 5: Solve for x
    x = 421,541,016.74/27,700.92
  6. Step 6: Final answer
    x = 15,217.58

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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.