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Finding the Fourth Proportional to 12,469.60, 18,733.20 and 8,581.60

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Solution

The fourth proportional to 12,469.60, 18,733.20 and 8,581.60 is: 12,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.60 : 18,733.20 = 8,581.60 : x
  2. Step 2: Convert to fraction form
    12,469.60/18,733.20 = 8,581.60/x
  3. Step 3: Cross multiply
    12,469.60x = 18,733.20 × 8,581.60
  4. Step 4: Simplify right side
    12,469.60x = 160,760,829.12
  5. Step 5: Solve for x
    x = 160,760,829.12/12,469.60
  6. Step 6: Final answer
    x = 12,892.22

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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.