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Finding the Fourth Proportional to 12,019.74, 18,020.97 and 5,442.54

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Solution

The fourth proportional to 12,019.74, 18,020.97 and 5,442.54 is: 8,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.74 : 18,020.97 = 5,442.54 : x
  2. Step 2: Convert to fraction form
    12,019.74/18,020.97 = 5,442.54/x
  3. Step 3: Cross multiply
    12,019.74x = 18,020.97 × 5,442.54
  4. Step 4: Simplify right side
    12,019.74x = 98,079,850.06
  5. Step 5: Solve for x
    x = 98,079,850.06/12,019.74
  6. Step 6: Final answer
    x = 8,159.90

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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.