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Finding the Fourth Proportional to 12,143.74, 18,213.04 and 6,214.27

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Solution

The fourth proportional to 12,143.74, 18,213.04 and 6,214.27 is: 9,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.74 : 18,213.04 = 6,214.27 : x
  2. Step 2: Convert to fraction form
    12,143.74/18,213.04 = 6,214.27/x
  3. Step 3: Cross multiply
    12,143.74x = 18,213.04 × 6,214.27
  4. Step 4: Simplify right side
    12,143.74x = 113,180,748.08
  5. Step 5: Solve for x
    x = 113,180,748.08/12,143.74
  6. Step 6: Final answer
    x = 9,320.09

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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.