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Finding the Fourth Proportional to 22,767, 34,165.92 and 7,976.04

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Solution

The fourth proportional to 22,767, 34,165.92 and 7,976.04 is: 11,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767 : 34,165.92 = 7,976.04 : x
  2. Step 2: Convert to fraction form
    22,767/34,165.92 = 7,976.04/x
  3. Step 3: Cross multiply
    22,767x = 34,165.92 × 7,976.04
  4. Step 4: Simplify right side
    22,767x = 272,508,744.56
  5. Step 5: Solve for x
    x = 272,508,744.56/22,767
  6. Step 6: Final answer
    x = 11,969.46

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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.