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Finding the Fourth Proportional to 16,993.86, 25,500.24 and 6,470.88

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Solution

The fourth proportional to 16,993.86, 25,500.24 and 6,470.88 is: 9,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,993.86 : 25,500.24 = 6,470.88 : x
  2. Step 2: Convert to fraction form
    16,993.86/25,500.24 = 6,470.88/x
  3. Step 3: Cross multiply
    16,993.86x = 25,500.24 × 6,470.88
  4. Step 4: Simplify right side
    16,993.86x = 165,008,993.01
  5. Step 5: Solve for x
    x = 165,008,993.01/16,993.86
  6. Step 6: Final answer
    x = 9,709.92

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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.