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Finding the Fourth Proportional to 12,191.42, 18,275.22 and 5,951.18

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Solution

The fourth proportional to 12,191.42, 18,275.22 and 5,951.18 is: 8,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.42 : 18,275.22 = 5,951.18 : x
  2. Step 2: Convert to fraction form
    12,191.42/18,275.22 = 5,951.18/x
  3. Step 3: Cross multiply
    12,191.42x = 18,275.22 × 5,951.18
  4. Step 4: Simplify right side
    12,191.42x = 108,759,169.45
  5. Step 5: Solve for x
    x = 108,759,169.45/12,191.42
  6. Step 6: Final answer
    x = 8,920.96

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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.