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Finding the Fourth Proportional to 23,534.33, 35,318.49 and 13,660.43

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Solution

The fourth proportional to 23,534.33, 35,318.49 and 13,660.43 is: 20,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.33 : 35,318.49 = 13,660.43 : x
  2. Step 2: Convert to fraction form
    23,534.33/35,318.49 = 13,660.43/x
  3. Step 3: Cross multiply
    23,534.33x = 35,318.49 × 13,660.43
  4. Step 4: Simplify right side
    23,534.33x = 482,465,760.35
  5. Step 5: Solve for x
    x = 482,465,760.35/23,534.33
  6. Step 6: Final answer
    x = 20,500.51

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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.