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Finding the Fourth Proportional to 22,994.34, 31,732.38 and 12,922.56

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Solution

The fourth proportional to 22,994.34, 31,732.38 and 12,922.56 is: 17,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.34 : 31,732.38 = 12,922.56 : x
  2. Step 2: Convert to fraction form
    22,994.34/31,732.38 = 12,922.56/x
  3. Step 3: Cross multiply
    22,994.34x = 31,732.38 × 12,922.56
  4. Step 4: Simplify right side
    22,994.34x = 410,063,584.49
  5. Step 5: Solve for x
    x = 410,063,584.49/22,994.34
  6. Step 6: Final answer
    x = 17,833.24

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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.