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Finding the Fourth Proportional to 12,451.46, 17,183.13 and 6,862.66

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Solution

The fourth proportional to 12,451.46, 17,183.13 and 6,862.66 is: 9,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.46 : 17,183.13 = 6,862.66 : x
  2. Step 2: Convert to fraction form
    12,451.46/17,183.13 = 6,862.66/x
  3. Step 3: Cross multiply
    12,451.46x = 17,183.13 × 6,862.66
  4. Step 4: Simplify right side
    12,451.46x = 117,921,978.93
  5. Step 5: Solve for x
    x = 117,921,978.93/12,451.46
  6. Step 6: Final answer
    x = 9,470.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.