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Finding the Fourth Proportional to 27,836.78, 41,753.28 and 13,049

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Solution

The fourth proportional to 27,836.78, 41,753.28 and 13,049 is: 19,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.78 : 41,753.28 = 13,049 : x
  2. Step 2: Convert to fraction form
    27,836.78/41,753.28 = 13,049/x
  3. Step 3: Cross multiply
    27,836.78x = 41,753.28 × 13,049
  4. Step 4: Simplify right side
    27,836.78x = 544,838,550.72
  5. Step 5: Solve for x
    x = 544,838,550.72/27,836.78
  6. Step 6: Final answer
    x = 19,572.61

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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.