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Finding the Fourth Proportional to 22,813.38, 34,220.12 and 7,230.96

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Solution

The fourth proportional to 22,813.38, 34,220.12 and 7,230.96 is: 10,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.38 : 34,220.12 = 7,230.96 : x
  2. Step 2: Convert to fraction form
    22,813.38/34,220.12 = 7,230.96/x
  3. Step 3: Cross multiply
    22,813.38x = 34,220.12 × 7,230.96
  4. Step 4: Simplify right side
    22,813.38x = 247,444,282.76
  5. Step 5: Solve for x
    x = 247,444,282.76/22,813.38
  6. Step 6: Final answer
    x = 10,846.45

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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.