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Finding the Fourth Proportional to 27,714.92, 38,244.80 and 15,139.66

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Solution

The fourth proportional to 27,714.92, 38,244.80 and 15,139.66 is: 20,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.92 : 38,244.80 = 15,139.66 : x
  2. Step 2: Convert to fraction form
    27,714.92/38,244.80 = 15,139.66/x
  3. Step 3: Cross multiply
    27,714.92x = 38,244.80 × 15,139.66
  4. Step 4: Simplify right side
    27,714.92x = 579,013,268.77
  5. Step 5: Solve for x
    x = 579,013,268.77/27,714.92
  6. Step 6: Final answer
    x = 20,891.75

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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.