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Finding the Fourth Proportional to 12,189.34, 18,286.51 and 3,869.17

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Solution

The fourth proportional to 12,189.34, 18,286.51 and 3,869.17 is: 5,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.34 : 18,286.51 = 3,869.17 : x
  2. Step 2: Convert to fraction form
    12,189.34/18,286.51 = 3,869.17/x
  3. Step 3: Cross multiply
    12,189.34x = 18,286.51 × 3,869.17
  4. Step 4: Simplify right side
    12,189.34x = 70,753,567.76
  5. Step 5: Solve for x
    x = 70,753,567.76/12,189.34
  6. Step 6: Final answer
    x = 5,804.55

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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.