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Finding the Fourth Proportional to 12,202.70, 18,302.42 and 3,438.30

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Solution

The fourth proportional to 12,202.70, 18,302.42 and 3,438.30 is: 5,156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.70 : 18,302.42 = 3,438.30 : x
  2. Step 2: Convert to fraction form
    12,202.70/18,302.42 = 3,438.30/x
  3. Step 3: Cross multiply
    12,202.70x = 18,302.42 × 3,438.30
  4. Step 4: Simplify right side
    12,202.70x = 62,929,210.69
  5. Step 5: Solve for x
    x = 62,929,210.69/12,202.70
  6. Step 6: Final answer
    x = 5,156.99

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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.