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Finding the Fourth Proportional to 12,443.19, 18,654.92 and 6,199.80

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Solution

The fourth proportional to 12,443.19, 18,654.92 and 6,199.80 is: 9,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.19 : 18,654.92 = 6,199.80 : x
  2. Step 2: Convert to fraction form
    12,443.19/18,654.92 = 6,199.80/x
  3. Step 3: Cross multiply
    12,443.19x = 18,654.92 × 6,199.80
  4. Step 4: Simplify right side
    12,443.19x = 115,656,742.02
  5. Step 5: Solve for x
    x = 115,656,742.02/12,443.19
  6. Step 6: Final answer
    x = 9,294.78

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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.