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Finding the Fourth Proportional to 22,922.70, 34,392.78 and 11,822.31

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Solution

The fourth proportional to 22,922.70, 34,392.78 and 11,822.31 is: 17,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.70 : 34,392.78 = 11,822.31 : x
  2. Step 2: Convert to fraction form
    22,922.70/34,392.78 = 11,822.31/x
  3. Step 3: Cross multiply
    22,922.70x = 34,392.78 × 11,822.31
  4. Step 4: Simplify right side
    22,922.70x = 406,602,106.92
  5. Step 5: Solve for x
    x = 406,602,106.92/22,922.70
  6. Step 6: Final answer
    x = 17,737.97

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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.