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Finding the Fourth Proportional to 12,286.13, 18,429.19 and 4,078.13

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Solution

The fourth proportional to 12,286.13, 18,429.19 and 4,078.13 is: 6,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.13 : 18,429.19 = 4,078.13 : x
  2. Step 2: Convert to fraction form
    12,286.13/18,429.19 = 4,078.13/x
  3. Step 3: Cross multiply
    12,286.13x = 18,429.19 × 4,078.13
  4. Step 4: Simplify right side
    12,286.13x = 75,156,530.27
  5. Step 5: Solve for x
    x = 75,156,530.27/12,286.13
  6. Step 6: Final answer
    x = 6,117.19

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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.