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Finding the Fourth Proportional to 12,167.28, 16,785.36 and 7,131.78

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Solution

The fourth proportional to 12,167.28, 16,785.36 and 7,131.78 is: 9,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.28 : 16,785.36 = 7,131.78 : x
  2. Step 2: Convert to fraction form
    12,167.28/16,785.36 = 7,131.78/x
  3. Step 3: Cross multiply
    12,167.28x = 16,785.36 × 7,131.78
  4. Step 4: Simplify right side
    12,167.28x = 119,709,494.74
  5. Step 5: Solve for x
    x = 119,709,494.74/12,167.28
  6. Step 6: Final answer
    x = 9,838.64

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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.