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Finding the Fourth Proportional to 12,144.39, 18,200.81 and 5,475.99

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Solution

The fourth proportional to 12,144.39, 18,200.81 and 5,475.99 is: 8,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.39 : 18,200.81 = 5,475.99 : x
  2. Step 2: Convert to fraction form
    12,144.39/18,200.81 = 5,475.99/x
  3. Step 3: Cross multiply
    12,144.39x = 18,200.81 × 5,475.99
  4. Step 4: Simplify right side
    12,144.39x = 99,667,426.17
  5. Step 5: Solve for x
    x = 99,667,426.17/12,144.39
  6. Step 6: Final answer
    x = 8,206.87

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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.