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Finding the Fourth Proportional to 25,691.77, 38,514.31 and 9,886.72

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Solution

The fourth proportional to 25,691.77, 38,514.31 and 9,886.72 is: 14,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691.77 : 38,514.31 = 9,886.72 : x
  2. Step 2: Convert to fraction form
    25,691.77/38,514.31 = 9,886.72/x
  3. Step 3: Cross multiply
    25,691.77x = 38,514.31 × 9,886.72
  4. Step 4: Simplify right side
    25,691.77x = 380,780,198.96
  5. Step 5: Solve for x
    x = 380,780,198.96/25,691.77
  6. Step 6: Final answer
    x = 14,821.10

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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.