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Finding the Fourth Proportional to 12,496.40, 18,766.20 and 8,824.40

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Solution

The fourth proportional to 12,496.40, 18,766.20 and 8,824.40 is: 13,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.40 : 18,766.20 = 8,824.40 : x
  2. Step 2: Convert to fraction form
    12,496.40/18,766.20 = 8,824.40/x
  3. Step 3: Cross multiply
    12,496.40x = 18,766.20 × 8,824.40
  4. Step 4: Simplify right side
    12,496.40x = 165,600,455.28
  5. Step 5: Solve for x
    x = 165,600,455.28/12,496.40
  6. Step 6: Final answer
    x = 13,251.85

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