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Finding the Fourth Proportional to 12,442.54, 18,657.46 and 4,119.55

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Solution

The fourth proportional to 12,442.54, 18,657.46 and 4,119.55 is: 6,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.54 : 18,657.46 = 4,119.55 : x
  2. Step 2: Convert to fraction form
    12,442.54/18,657.46 = 4,119.55/x
  3. Step 3: Cross multiply
    12,442.54x = 18,657.46 × 4,119.55
  4. Step 4: Simplify right side
    12,442.54x = 76,860,337.44
  5. Step 5: Solve for x
    x = 76,860,337.44/12,442.54
  6. Step 6: Final answer
    x = 6,177.22

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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.