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Finding the Fourth Proportional to 22,705.57, 34,056.97 and 8,471.31

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Solution

The fourth proportional to 22,705.57, 34,056.97 and 8,471.31 is: 12,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.57 : 34,056.97 = 8,471.31 : x
  2. Step 2: Convert to fraction form
    22,705.57/34,056.97 = 8,471.31/x
  3. Step 3: Cross multiply
    22,705.57x = 34,056.97 × 8,471.31
  4. Step 4: Simplify right side
    22,705.57x = 288,507,150.53
  5. Step 5: Solve for x
    x = 288,507,150.53/22,705.57
  6. Step 6: Final answer
    x = 12,706.45

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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.