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Finding the Fourth Proportional to 17,917.50, 24,727.23 and 9,959.88

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Solution

The fourth proportional to 17,917.50, 24,727.23 and 9,959.88 is: 13,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917.50 : 24,727.23 = 9,959.88 : x
  2. Step 2: Convert to fraction form
    17,917.50/24,727.23 = 9,959.88/x
  3. Step 3: Cross multiply
    17,917.50x = 24,727.23 × 9,959.88
  4. Step 4: Simplify right side
    17,917.50x = 246,280,243.53
  5. Step 5: Solve for x
    x = 246,280,243.53/17,917.50
  6. Step 6: Final answer
    x = 13,745.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.