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Finding the Fourth Proportional to 17,974.82, 24,805.43 and 9,908.76

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Solution

The fourth proportional to 17,974.82, 24,805.43 and 9,908.76 is: 13,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.82 : 24,805.43 = 9,908.76 : x
  2. Step 2: Convert to fraction form
    17,974.82/24,805.43 = 9,908.76/x
  3. Step 3: Cross multiply
    17,974.82x = 24,805.43 × 9,908.76
  4. Step 4: Simplify right side
    17,974.82x = 245,791,052.57
  5. Step 5: Solve for x
    x = 245,791,052.57/17,974.82
  6. Step 6: Final answer
    x = 13,674.19

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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.