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Finding the Fourth Proportional to 12,078.12, 18,144.84 and 7,151.16

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Solution

The fourth proportional to 12,078.12, 18,144.84 and 7,151.16 is: 10,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.12 : 18,144.84 = 7,151.16 : x
  2. Step 2: Convert to fraction form
    12,078.12/18,144.84 = 7,151.16/x
  3. Step 3: Cross multiply
    12,078.12x = 18,144.84 × 7,151.16
  4. Step 4: Simplify right side
    12,078.12x = 129,756,654.01
  5. Step 5: Solve for x
    x = 129,756,654.01/12,078.12
  6. Step 6: Final answer
    x = 10,743.12

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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.