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Finding the Fourth Proportional to 12,191.16, 18,269.07 and 5,161.47

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Solution

The fourth proportional to 12,191.16, 18,269.07 and 5,161.47 is: 7,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.16 : 18,269.07 = 5,161.47 : x
  2. Step 2: Convert to fraction form
    12,191.16/18,269.07 = 5,161.47/x
  3. Step 3: Cross multiply
    12,191.16x = 18,269.07 × 5,161.47
  4. Step 4: Simplify right side
    12,191.16x = 94,295,256.73
  5. Step 5: Solve for x
    x = 94,295,256.73/12,191.16
  6. Step 6: Final answer
    x = 7,734.72

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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.