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Finding the Fourth Proportional to 12,129.75, 18,195.57 and 4,230.90

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Solution

The fourth proportional to 12,129.75, 18,195.57 and 4,230.90 is: 6,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 18,195.57 = 4,230.90 : x
  2. Step 2: Convert to fraction form
    12,129.75/18,195.57 = 4,230.90/x
  3. Step 3: Cross multiply
    12,129.75x = 18,195.57 × 4,230.90
  4. Step 4: Simplify right side
    12,129.75x = 76,983,637.11
  5. Step 5: Solve for x
    x = 76,983,637.11/12,129.75
  6. Step 6: Final answer
    x = 6,346.68

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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.