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Finding the Fourth Proportional to 25,785.61, 38,682.13 and 9,781.04

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Solution

The fourth proportional to 25,785.61, 38,682.13 and 9,781.04 is: 14,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.61 : 38,682.13 = 9,781.04 : x
  2. Step 2: Convert to fraction form
    25,785.61/38,682.13 = 9,781.04/x
  3. Step 3: Cross multiply
    25,785.61x = 38,682.13 × 9,781.04
  4. Step 4: Simplify right side
    25,785.61x = 378,351,460.82
  5. Step 5: Solve for x
    x = 378,351,460.82/25,785.61
  6. Step 6: Final answer
    x = 14,672.97

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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.