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Finding the Fourth Proportional to 12,214.38, 18,293.09 and 8,919.30

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Solution

The fourth proportional to 12,214.38, 18,293.09 and 8,919.30 is: 13,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.38 : 18,293.09 = 8,919.30 : x
  2. Step 2: Convert to fraction form
    12,214.38/18,293.09 = 8,919.30/x
  3. Step 3: Cross multiply
    12,214.38x = 18,293.09 × 8,919.30
  4. Step 4: Simplify right side
    12,214.38x = 163,161,513.04
  5. Step 5: Solve for x
    x = 163,161,513.04/12,214.38
  6. Step 6: Final answer
    x = 13,358.15

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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.