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Finding the Fourth Proportional to 12,238.30, 18,358.80 and 3,916.90

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Solution

The fourth proportional to 12,238.30, 18,358.80 and 3,916.90 is: 5,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.30 : 18,358.80 = 3,916.90 : x
  2. Step 2: Convert to fraction form
    12,238.30/18,358.80 = 3,916.90/x
  3. Step 3: Cross multiply
    12,238.30x = 18,358.80 × 3,916.90
  4. Step 4: Simplify right side
    12,238.30x = 71,909,583.72
  5. Step 5: Solve for x
    x = 71,909,583.72/12,238.30
  6. Step 6: Final answer
    x = 5,875.78

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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.