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Finding the Fourth Proportional to 16,022.70, 24,013.80 and 6,148.80

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Solution

The fourth proportional to 16,022.70, 24,013.80 and 6,148.80 is: 9,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.70 : 24,013.80 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    16,022.70/24,013.80 = 6,148.80/x
  3. Step 3: Cross multiply
    16,022.70x = 24,013.80 × 6,148.80
  4. Step 4: Simplify right side
    16,022.70x = 147,656,053.44
  5. Step 5: Solve for x
    x = 147,656,053.44/16,022.70
  6. Step 6: Final answer
    x = 9,215.43

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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.