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Finding the Fourth Proportional to 22,992.36, 31,729.43 and 13,438.82

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Solution

The fourth proportional to 22,992.36, 31,729.43 and 13,438.82 is: 18,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.36 : 31,729.43 = 13,438.82 : x
  2. Step 2: Convert to fraction form
    22,992.36/31,729.43 = 13,438.82/x
  3. Step 3: Cross multiply
    22,992.36x = 31,729.43 × 13,438.82
  4. Step 4: Simplify right side
    22,992.36x = 426,405,872.63
  5. Step 5: Solve for x
    x = 426,405,872.63/22,992.36
  6. Step 6: Final answer
    x = 18,545.55

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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.