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Finding the Fourth Proportional to 12,151.16, 18,229.28 and 5,131.19

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Solution

The fourth proportional to 12,151.16, 18,229.28 and 5,131.19 is: 7,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.16 : 18,229.28 = 5,131.19 : x
  2. Step 2: Convert to fraction form
    12,151.16/18,229.28 = 5,131.19/x
  3. Step 3: Cross multiply
    12,151.16x = 18,229.28 × 5,131.19
  4. Step 4: Simplify right side
    12,151.16x = 93,537,882.32
  5. Step 5: Solve for x
    x = 93,537,882.32/12,151.16
  6. Step 6: Final answer
    x = 7,697.86

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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.