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Finding the Fourth Proportional to 22,991.72, 34,490.27 and 8,202.74

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Solution

The fourth proportional to 22,991.72, 34,490.27 and 8,202.74 is: 12,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.72 : 34,490.27 = 8,202.74 : x
  2. Step 2: Convert to fraction form
    22,991.72/34,490.27 = 8,202.74/x
  3. Step 3: Cross multiply
    22,991.72x = 34,490.27 × 8,202.74
  4. Step 4: Simplify right side
    22,991.72x = 282,914,717.34
  5. Step 5: Solve for x
    x = 282,914,717.34/22,991.72
  6. Step 6: Final answer
    x = 12,305.07

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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.