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Finding the Fourth Proportional to 22,769.90, 34,158.92 and 6,974.62

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Solution

The fourth proportional to 22,769.90, 34,158.92 and 6,974.62 is: 10,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.90 : 34,158.92 = 6,974.62 : x
  2. Step 2: Convert to fraction form
    22,769.90/34,158.92 = 6,974.62/x
  3. Step 3: Cross multiply
    22,769.90x = 34,158.92 × 6,974.62
  4. Step 4: Simplify right side
    22,769.90x = 238,245,486.61
  5. Step 5: Solve for x
    x = 238,245,486.61/22,769.90
  6. Step 6: Final answer
    x = 10,463.18

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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.