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Finding the Fourth Proportional to 16,475.74, 24,718.06 and 5,380.97

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Solution

The fourth proportional to 16,475.74, 24,718.06 and 5,380.97 is: 8,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.74 : 24,718.06 = 5,380.97 : x
  2. Step 2: Convert to fraction form
    16,475.74/24,718.06 = 5,380.97/x
  3. Step 3: Cross multiply
    16,475.74x = 24,718.06 × 5,380.97
  4. Step 4: Simplify right side
    16,475.74x = 133,007,022.45
  5. Step 5: Solve for x
    x = 133,007,022.45/16,475.74
  6. Step 6: Final answer
    x = 8,072.90

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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.