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Finding the Fourth Proportional to 12,486.40, 18,729.98 and 4,167.15

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Solution

The fourth proportional to 12,486.40, 18,729.98 and 4,167.15 is: 6,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.40 : 18,729.98 = 4,167.15 : x
  2. Step 2: Convert to fraction form
    12,486.40/18,729.98 = 4,167.15/x
  3. Step 3: Cross multiply
    12,486.40x = 18,729.98 × 4,167.15
  4. Step 4: Simplify right side
    12,486.40x = 78,050,584.15
  5. Step 5: Solve for x
    x = 78,050,584.15/12,486.40
  6. Step 6: Final answer
    x = 6,250.85

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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.