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Finding the Fourth Proportional to 23,395.62, 32,286.17 and 12,785.47

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Solution

The fourth proportional to 23,395.62, 32,286.17 and 12,785.47 is: 17,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,395.62 : 32,286.17 = 12,785.47 : x
  2. Step 2: Convert to fraction form
    23,395.62/32,286.17 = 12,785.47/x
  3. Step 3: Cross multiply
    23,395.62x = 32,286.17 × 12,785.47
  4. Step 4: Simplify right side
    23,395.62x = 412,793,857.95
  5. Step 5: Solve for x
    x = 412,793,857.95/23,395.62
  6. Step 6: Final answer
    x = 17,644.07

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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.