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Finding the Fourth Proportional to 27,665.52, 41,498.24 and 9,197.52

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Solution

The fourth proportional to 27,665.52, 41,498.24 and 9,197.52 is: 13,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.52 : 41,498.24 = 9,197.52 : x
  2. Step 2: Convert to fraction form
    27,665.52/41,498.24 = 9,197.52/x
  3. Step 3: Cross multiply
    27,665.52x = 41,498.24 × 9,197.52
  4. Step 4: Simplify right side
    27,665.52x = 381,680,892.36
  5. Step 5: Solve for x
    x = 381,680,892.36/27,665.52
  6. Step 6: Final answer
    x = 13,796.27

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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.