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Finding the Fourth Proportional to 12,257.60, 18,391.20 and 4,467.20

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Solution

The fourth proportional to 12,257.60, 18,391.20 and 4,467.20 is: 6,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.60 : 18,391.20 = 4,467.20 : x
  2. Step 2: Convert to fraction form
    12,257.60/18,391.20 = 4,467.20/x
  3. Step 3: Cross multiply
    12,257.60x = 18,391.20 × 4,467.20
  4. Step 4: Simplify right side
    12,257.60x = 82,157,168.64
  5. Step 5: Solve for x
    x = 82,157,168.64/12,257.60
  6. Step 6: Final answer
    x = 6,702.55

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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.