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Finding the Fourth Proportional to 27,874.78, 38,467.14 and 15,299.26

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Solution

The fourth proportional to 27,874.78, 38,467.14 and 15,299.26 is: 21,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.78 : 38,467.14 = 15,299.26 : x
  2. Step 2: Convert to fraction form
    27,874.78/38,467.14 = 15,299.26/x
  3. Step 3: Cross multiply
    27,874.78x = 38,467.14 × 15,299.26
  4. Step 4: Simplify right side
    27,874.78x = 588,518,776.32
  5. Step 5: Solve for x
    x = 588,518,776.32/27,874.78
  6. Step 6: Final answer
    x = 21,112.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.