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Finding the Fourth Proportional to 12,343.66, 18,517.42 and 4,021.74

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Solution

The fourth proportional to 12,343.66, 18,517.42 and 4,021.74 is: 6,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.66 : 18,517.42 = 4,021.74 : x
  2. Step 2: Convert to fraction form
    12,343.66/18,517.42 = 4,021.74/x
  3. Step 3: Cross multiply
    12,343.66x = 18,517.42 × 4,021.74
  4. Step 4: Simplify right side
    12,343.66x = 74,472,248.71
  5. Step 5: Solve for x
    x = 74,472,248.71/12,343.66
  6. Step 6: Final answer
    x = 6,033.24

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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.