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Finding the Fourth Proportional to 12,102.80, 18,151.36 and 3,667.76

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Solution

The fourth proportional to 12,102.80, 18,151.36 and 3,667.76 is: 5,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.80 : 18,151.36 = 3,667.76 : x
  2. Step 2: Convert to fraction form
    12,102.80/18,151.36 = 3,667.76/x
  3. Step 3: Cross multiply
    12,102.80x = 18,151.36 × 3,667.76
  4. Step 4: Simplify right side
    12,102.80x = 66,574,832.15
  5. Step 5: Solve for x
    x = 66,574,832.15/12,102.80
  6. Step 6: Final answer
    x = 5,500.78

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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.