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Finding the Fourth Proportional to 22,447.62, 33,658.29 and 13,450.68

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Solution

The fourth proportional to 22,447.62, 33,658.29 and 13,450.68 is: 20,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.62 : 33,658.29 = 13,450.68 : x
  2. Step 2: Convert to fraction form
    22,447.62/33,658.29 = 13,450.68/x
  3. Step 3: Cross multiply
    22,447.62x = 33,658.29 × 13,450.68
  4. Step 4: Simplify right side
    22,447.62x = 452,726,888.14
  5. Step 5: Solve for x
    x = 452,726,888.14/22,447.62
  6. Step 6: Final answer
    x = 20,168.15

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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.