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Finding the Fourth Proportional to 17,734.96, 24,473.84 and 9,776.96

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Solution

The fourth proportional to 17,734.96, 24,473.84 and 9,776.96 is: 13,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.96 : 24,473.84 = 9,776.96 : x
  2. Step 2: Convert to fraction form
    17,734.96/24,473.84 = 9,776.96/x
  3. Step 3: Cross multiply
    17,734.96x = 24,473.84 × 9,776.96
  4. Step 4: Simplify right side
    17,734.96x = 239,279,754.73
  5. Step 5: Solve for x
    x = 239,279,754.73/17,734.96
  6. Step 6: Final answer
    x = 13,491.98

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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.