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Finding the Fourth Proportional to 12,282.40, 18,423.15 and 3,517.30

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Solution

The fourth proportional to 12,282.40, 18,423.15 and 3,517.30 is: 5,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.40 : 18,423.15 = 3,517.30 : x
  2. Step 2: Convert to fraction form
    12,282.40/18,423.15 = 3,517.30/x
  3. Step 3: Cross multiply
    12,282.40x = 18,423.15 × 3,517.30
  4. Step 4: Simplify right side
    12,282.40x = 64,799,745.50
  5. Step 5: Solve for x
    x = 64,799,745.50/12,282.40
  6. Step 6: Final answer
    x = 5,275.82

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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.