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Finding the Fourth Proportional to 12,442.68, 18,659.54 and 4,121.16

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Solution

The fourth proportional to 12,442.68, 18,659.54 and 4,121.16 is: 6,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.68 : 18,659.54 = 4,121.16 : x
  2. Step 2: Convert to fraction form
    12,442.68/18,659.54 = 4,121.16/x
  3. Step 3: Cross multiply
    12,442.68x = 18,659.54 × 4,121.16
  4. Step 4: Simplify right side
    12,442.68x = 76,898,949.87
  5. Step 5: Solve for x
    x = 76,898,949.87/12,442.68
  6. Step 6: Final answer
    x = 6,180.26

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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.