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Finding the Fourth Proportional to 16,478.87, 24,718.10 and 3,999

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Solution

The fourth proportional to 16,478.87, 24,718.10 and 3,999 is: 5,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.87 : 24,718.10 = 3,999 : x
  2. Step 2: Convert to fraction form
    16,478.87/24,718.10 = 3,999/x
  3. Step 3: Cross multiply
    16,478.87x = 24,718.10 × 3,999
  4. Step 4: Simplify right side
    16,478.87x = 98,847,691.90
  5. Step 5: Solve for x
    x = 98,847,691.90/16,478.87
  6. Step 6: Final answer
    x = 5,998.45

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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.