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Finding the Fourth Proportional to 16,378.20, 24,576.21 and 7,144.20

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Solution

The fourth proportional to 16,378.20, 24,576.21 and 7,144.20 is: 10,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.20 : 24,576.21 = 7,144.20 : x
  2. Step 2: Convert to fraction form
    16,378.20/24,576.21 = 7,144.20/x
  3. Step 3: Cross multiply
    16,378.20x = 24,576.21 × 7,144.20
  4. Step 4: Simplify right side
    16,378.20x = 175,577,359.48
  5. Step 5: Solve for x
    x = 175,577,359.48/16,378.20
  6. Step 6: Final answer
    x = 10,720.19

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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.