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Finding the Fourth Proportional to 12,331.44, 18,495 and 3,567.60

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Solution

The fourth proportional to 12,331.44, 18,495 and 3,567.60 is: 5,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.44 : 18,495 = 3,567.60 : x
  2. Step 2: Convert to fraction form
    12,331.44/18,495 = 3,567.60/x
  3. Step 3: Cross multiply
    12,331.44x = 18,495 × 3,567.60
  4. Step 4: Simplify right side
    12,331.44x = 65,982,762
  5. Step 5: Solve for x
    x = 65,982,762/12,331.44
  6. Step 6: Final answer
    x = 5,350.78

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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.