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Finding the Fourth Proportional to 16,033.20, 24,049.80 and 10,128.30

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Solution

The fourth proportional to 16,033.20, 24,049.80 and 10,128.30 is: 15,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.20 : 24,049.80 = 10,128.30 : x
  2. Step 2: Convert to fraction form
    16,033.20/24,049.80 = 10,128.30/x
  3. Step 3: Cross multiply
    16,033.20x = 24,049.80 × 10,128.30
  4. Step 4: Simplify right side
    16,033.20x = 243,583,589.34
  5. Step 5: Solve for x
    x = 243,583,589.34/16,033.20
  6. Step 6: Final answer
    x = 15,192.45

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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.