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Finding the Fourth Proportional to 12,203.53, 18,306.51 and 3,438.43

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Solution

The fourth proportional to 12,203.53, 18,306.51 and 3,438.43 is: 5,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.53 : 18,306.51 = 3,438.43 : x
  2. Step 2: Convert to fraction form
    12,203.53/18,306.51 = 3,438.43/x
  3. Step 3: Cross multiply
    12,203.53x = 18,306.51 × 3,438.43
  4. Step 4: Simplify right side
    12,203.53x = 62,945,653.18
  5. Step 5: Solve for x
    x = 62,945,653.18/12,203.53
  6. Step 6: Final answer
    x = 5,157.99

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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.