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Finding the Fourth Proportional to 22,822.70, 34,234.05 and 7,240.32

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Solution

The fourth proportional to 22,822.70, 34,234.05 and 7,240.32 is: 10,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.70 : 34,234.05 = 7,240.32 : x
  2. Step 2: Convert to fraction form
    22,822.70/34,234.05 = 7,240.32/x
  3. Step 3: Cross multiply
    22,822.70x = 34,234.05 × 7,240.32
  4. Step 4: Simplify right side
    22,822.70x = 247,865,476.90
  5. Step 5: Solve for x
    x = 247,865,476.90/22,822.70
  6. Step 6: Final answer
    x = 10,860.48

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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.