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Finding the Fourth Proportional to 17,471.25, 24,107.90 and 10,757.97

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Solution

The fourth proportional to 17,471.25, 24,107.90 and 10,757.97 is: 14,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.25 : 24,107.90 = 10,757.97 : x
  2. Step 2: Convert to fraction form
    17,471.25/24,107.90 = 10,757.97/x
  3. Step 3: Cross multiply
    17,471.25x = 24,107.90 × 10,757.97
  4. Step 4: Simplify right side
    17,471.25x = 259,352,011.17
  5. Step 5: Solve for x
    x = 259,352,011.17/17,471.25
  6. Step 6: Final answer
    x = 14,844.50

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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.