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Finding the Fourth Proportional to 12,167.70, 16,785.39 and 7,859.31

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Solution

The fourth proportional to 12,167.70, 16,785.39 and 7,859.31 is: 10,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.70 : 16,785.39 = 7,859.31 : x
  2. Step 2: Convert to fraction form
    12,167.70/16,785.39 = 7,859.31/x
  3. Step 3: Cross multiply
    12,167.70x = 16,785.39 × 7,859.31
  4. Step 4: Simplify right side
    12,167.70x = 131,921,521.87
  5. Step 5: Solve for x
    x = 131,921,521.87/12,167.70
  6. Step 6: Final answer
    x = 10,841.95

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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.