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Finding the Fourth Proportional to 12,203.26, 18,304.80 and 3,438.12

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Solution

The fourth proportional to 12,203.26, 18,304.80 and 3,438.12 is: 5,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.26 : 18,304.80 = 3,438.12 : x
  2. Step 2: Convert to fraction form
    12,203.26/18,304.80 = 3,438.12/x
  3. Step 3: Cross multiply
    12,203.26x = 18,304.80 × 3,438.12
  4. Step 4: Simplify right side
    12,203.26x = 62,934,098.98
  5. Step 5: Solve for x
    x = 62,934,098.98/12,203.26
  6. Step 6: Final answer
    x = 5,157.15

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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.