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Finding the Fourth Proportional to 16,471.27, 24,711.52 and 6,617.46

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Solution

The fourth proportional to 16,471.27, 24,711.52 and 6,617.46 is: 9,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.27 : 24,711.52 = 6,617.46 : x
  2. Step 2: Convert to fraction form
    16,471.27/24,711.52 = 6,617.46/x
  3. Step 3: Cross multiply
    16,471.27x = 24,711.52 × 6,617.46
  4. Step 4: Simplify right side
    16,471.27x = 163,527,571.26
  5. Step 5: Solve for x
    x = 163,527,571.26/16,471.27
  6. Step 6: Final answer
    x = 9,928.05

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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.