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Finding the Fourth Proportional to 25,514.64, 38,275.92 and 13,027.91

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Solution

The fourth proportional to 25,514.64, 38,275.92 and 13,027.91 is: 19,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.64 : 38,275.92 = 13,027.91 : x
  2. Step 2: Convert to fraction form
    25,514.64/38,275.92 = 13,027.91/x
  3. Step 3: Cross multiply
    25,514.64x = 38,275.92 × 13,027.91
  4. Step 4: Simplify right side
    25,514.64x = 498,655,049.55
  5. Step 5: Solve for x
    x = 498,655,049.55/25,514.64
  6. Step 6: Final answer
    x = 19,543.88

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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.