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Finding the Fourth Proportional to 23,395.65, 32,286.80 and 12,785.97

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Solution

The fourth proportional to 23,395.65, 32,286.80 and 12,785.97 is: 17,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,395.65 : 32,286.80 = 12,785.97 : x
  2. Step 2: Convert to fraction form
    23,395.65/32,286.80 = 12,785.97/x
  3. Step 3: Cross multiply
    23,395.65x = 32,286.80 × 12,785.97
  4. Step 4: Simplify right side
    23,395.65x = 412,817,992.27
  5. Step 5: Solve for x
    x = 412,817,992.27/23,395.65
  6. Step 6: Final answer
    x = 17,645.07

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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.