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Finding the Fourth Proportional to 27,857.74, 41,790.58 and 9,139.24

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Solution

The fourth proportional to 27,857.74, 41,790.58 and 9,139.24 is: 13,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.74 : 41,790.58 = 9,139.24 : x
  2. Step 2: Convert to fraction form
    27,857.74/41,790.58 = 9,139.24/x
  3. Step 3: Cross multiply
    27,857.74x = 41,790.58 × 9,139.24
  4. Step 4: Simplify right side
    27,857.74x = 381,934,103.62
  5. Step 5: Solve for x
    x = 381,934,103.62/27,857.74
  6. Step 6: Final answer
    x = 13,710.16

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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.