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Finding the Fourth Proportional to 12,171.32, 18,254.23 and 5,591.18

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Solution

The fourth proportional to 12,171.32, 18,254.23 and 5,591.18 is: 8,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.32 : 18,254.23 = 5,591.18 : x
  2. Step 2: Convert to fraction form
    12,171.32/18,254.23 = 5,591.18/x
  3. Step 3: Cross multiply
    12,171.32x = 18,254.23 × 5,591.18
  4. Step 4: Simplify right side
    12,171.32x = 102,062,685.69
  5. Step 5: Solve for x
    x = 102,062,685.69/12,171.32
  6. Step 6: Final answer
    x = 8,385.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.