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Finding the Fourth Proportional to 12,230.30, 18,334.38 and 5,654.72

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Solution

The fourth proportional to 12,230.30, 18,334.38 and 5,654.72 is: 8,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.30 : 18,334.38 = 5,654.72 : x
  2. Step 2: Convert to fraction form
    12,230.30/18,334.38 = 5,654.72/x
  3. Step 3: Cross multiply
    12,230.30x = 18,334.38 × 5,654.72
  4. Step 4: Simplify right side
    12,230.30x = 103,675,785.27
  5. Step 5: Solve for x
    x = 103,675,785.27/12,230.30
  6. Step 6: Final answer
    x = 8,476.96

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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.