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Finding the Fourth Proportional to 22,775.67, 31,433.17 and 13,344.23

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Solution

The fourth proportional to 22,775.67, 31,433.17 and 13,344.23 is: 18,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.67 : 31,433.17 = 13,344.23 : x
  2. Step 2: Convert to fraction form
    22,775.67/31,433.17 = 13,344.23/x
  3. Step 3: Cross multiply
    22,775.67x = 31,433.17 × 13,344.23
  4. Step 4: Simplify right side
    22,775.67x = 419,451,495.33
  5. Step 5: Solve for x
    x = 419,451,495.33/22,775.67
  6. Step 6: Final answer
    x = 18,416.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.