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Finding the Fourth Proportional to 16,280.48, 22,471.49 and 9,568.27

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Solution

The fourth proportional to 16,280.48, 22,471.49 and 9,568.27 is: 13,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.48 : 22,471.49 = 9,568.27 : x
  2. Step 2: Convert to fraction form
    16,280.48/22,471.49 = 9,568.27/x
  3. Step 3: Cross multiply
    16,280.48x = 22,471.49 × 9,568.27
  4. Step 4: Simplify right side
    16,280.48x = 215,013,123.42
  5. Step 5: Solve for x
    x = 215,013,123.42/16,280.48
  6. Step 6: Final answer
    x = 13,206.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.