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Finding the Fourth Proportional to 12,241.20, 18,349.65 and 5,655.90

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Solution

The fourth proportional to 12,241.20, 18,349.65 and 5,655.90 is: 8,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.20 : 18,349.65 = 5,655.90 : x
  2. Step 2: Convert to fraction form
    12,241.20/18,349.65 = 5,655.90/x
  3. Step 3: Cross multiply
    12,241.20x = 18,349.65 × 5,655.90
  4. Step 4: Simplify right side
    12,241.20x = 103,783,785.44
  5. Step 5: Solve for x
    x = 103,783,785.44/12,241.20
  6. Step 6: Final answer
    x = 8,478.24

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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.