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Finding the Fourth Proportional to 12,447.38, 17,165.84 and 9,084.87

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Solution

The fourth proportional to 12,447.38, 17,165.84 and 9,084.87 is: 12,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.38 : 17,165.84 = 9,084.87 : x
  2. Step 2: Convert to fraction form
    12,447.38/17,165.84 = 9,084.87/x
  3. Step 3: Cross multiply
    12,447.38x = 17,165.84 × 9,084.87
  4. Step 4: Simplify right side
    12,447.38x = 155,949,447.55
  5. Step 5: Solve for x
    x = 155,949,447.55/12,447.38
  6. Step 6: Final answer
    x = 12,528.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.