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Finding the Fourth Proportional to 13,144.93, 18,139.87 and 8,107.14

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Solution

The fourth proportional to 13,144.93, 18,139.87 and 8,107.14 is: 11,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.93 : 18,139.87 = 8,107.14 : x
  2. Step 2: Convert to fraction form
    13,144.93/18,139.87 = 8,107.14/x
  3. Step 3: Cross multiply
    13,144.93x = 18,139.87 × 8,107.14
  4. Step 4: Simplify right side
    13,144.93x = 147,062,464.59
  5. Step 5: Solve for x
    x = 147,062,464.59/13,144.93
  6. Step 6: Final answer
    x = 11,187.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.