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Finding the Fourth Proportional to 27,874.26, 38,466 and 15,298.92

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Solution

The fourth proportional to 27,874.26, 38,466 and 15,298.92 is: 21,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.26 : 38,466 = 15,298.92 : x
  2. Step 2: Convert to fraction form
    27,874.26/38,466 = 15,298.92/x
  3. Step 3: Cross multiply
    27,874.26x = 38,466 × 15,298.92
  4. Step 4: Simplify right side
    27,874.26x = 588,488,256.72
  5. Step 5: Solve for x
    x = 588,488,256.72/27,874.26
  6. Step 6: Final answer
    x = 21,112.25

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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.