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Finding the Fourth Proportional to 12,238.17, 18,358.46 and 3,916.09

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Solution

The fourth proportional to 12,238.17, 18,358.46 and 3,916.09 is: 5,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.17 : 18,358.46 = 3,916.09 : x
  2. Step 2: Convert to fraction form
    12,238.17/18,358.46 = 3,916.09/x
  3. Step 3: Cross multiply
    12,238.17x = 18,358.46 × 3,916.09
  4. Step 4: Simplify right side
    12,238.17x = 71,893,381.62
  5. Step 5: Solve for x
    x = 71,893,381.62/12,238.17
  6. Step 6: Final answer
    x = 5,874.52

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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.