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Finding the Fourth Proportional to 12,229.60, 18,344.40 and 3,464.40

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Solution

The fourth proportional to 12,229.60, 18,344.40 and 3,464.40 is: 5,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.60 : 18,344.40 = 3,464.40 : x
  2. Step 2: Convert to fraction form
    12,229.60/18,344.40 = 3,464.40/x
  3. Step 3: Cross multiply
    12,229.60x = 18,344.40 × 3,464.40
  4. Step 4: Simplify right side
    12,229.60x = 63,552,339.36
  5. Step 5: Solve for x
    x = 63,552,339.36/12,229.60
  6. Step 6: Final answer
    x = 5,196.60

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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.