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Finding the Fourth Proportional to 22,471.20, 33,669.54 and 13,679.46

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Solution

The fourth proportional to 22,471.20, 33,669.54 and 13,679.46 is: 20,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.20 : 33,669.54 = 13,679.46 : x
  2. Step 2: Convert to fraction form
    22,471.20/33,669.54 = 13,679.46/x
  3. Step 3: Cross multiply
    22,471.20x = 33,669.54 × 13,679.46
  4. Step 4: Simplify right side
    22,471.20x = 460,581,125.65
  5. Step 5: Solve for x
    x = 460,581,125.65/22,471.20
  6. Step 6: Final answer
    x = 20,496.51

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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.