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Finding the Fourth Proportional to 27,049.17, 40,569.65 and 9,514.91

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Solution

The fourth proportional to 27,049.17, 40,569.65 and 9,514.91 is: 14,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.17 : 40,569.65 = 9,514.91 : x
  2. Step 2: Convert to fraction form
    27,049.17/40,569.65 = 9,514.91/x
  3. Step 3: Cross multiply
    27,049.17x = 40,569.65 × 9,514.91
  4. Step 4: Simplify right side
    27,049.17x = 386,016,318.06
  5. Step 5: Solve for x
    x = 386,016,318.06/27,049.17
  6. Step 6: Final answer
    x = 14,270.91

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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.