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Finding the Fourth Proportional to 12,229.60, 18,344.40 and 5,207.80

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Solution

The fourth proportional to 12,229.60, 18,344.40 and 5,207.80 is: 7,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.60 : 18,344.40 = 5,207.80 : x
  2. Step 2: Convert to fraction form
    12,229.60/18,344.40 = 5,207.80/x
  3. Step 3: Cross multiply
    12,229.60x = 18,344.40 × 5,207.80
  4. Step 4: Simplify right side
    12,229.60x = 95,533,966.32
  5. Step 5: Solve for x
    x = 95,533,966.32/12,229.60
  6. Step 6: Final answer
    x = 7,811.70

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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.