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Finding the Fourth Proportional to 12,151.14, 18,226.74 and 8,761.32

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Solution

The fourth proportional to 12,151.14, 18,226.74 and 8,761.32 is: 13,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.14 : 18,226.74 = 8,761.32 : x
  2. Step 2: Convert to fraction form
    12,151.14/18,226.74 = 8,761.32/x
  3. Step 3: Cross multiply
    12,151.14x = 18,226.74 × 8,761.32
  4. Step 4: Simplify right side
    12,151.14x = 159,690,301.70
  5. Step 5: Solve for x
    x = 159,690,301.70/12,151.14
  6. Step 6: Final answer
    x = 13,142.00

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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.