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Finding the Fourth Proportional to 25,691.78, 38,537.12 and 11,840.78

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Solution

The fourth proportional to 25,691.78, 38,537.12 and 11,840.78 is: 17,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691.78 : 38,537.12 = 11,840.78 : x
  2. Step 2: Convert to fraction form
    25,691.78/38,537.12 = 11,840.78/x
  3. Step 3: Cross multiply
    25,691.78x = 38,537.12 × 11,840.78
  4. Step 4: Simplify right side
    25,691.78x = 456,309,307.86
  5. Step 5: Solve for x
    x = 456,309,307.86/25,691.78
  6. Step 6: Final answer
    x = 17,760.91

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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.