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Finding the Fourth Proportional to 16,084, 24,138.96 and 8,295.04

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Solution

The fourth proportional to 16,084, 24,138.96 and 8,295.04 is: 12,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084 : 24,138.96 = 8,295.04 : x
  2. Step 2: Convert to fraction form
    16,084/24,138.96 = 8,295.04/x
  3. Step 3: Cross multiply
    16,084x = 24,138.96 × 8,295.04
  4. Step 4: Simplify right side
    16,084x = 200,233,638.76
  5. Step 5: Solve for x
    x = 200,233,638.76/16,084
  6. Step 6: Final answer
    x = 12,449.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.