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Finding the Fourth Proportional to 17,949.80, 24,770.81 and 9,992.01

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Solution

The fourth proportional to 17,949.80, 24,770.81 and 9,992.01 is: 13,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949.80 : 24,770.81 = 9,992.01 : x
  2. Step 2: Convert to fraction form
    17,949.80/24,770.81 = 9,992.01/x
  3. Step 3: Cross multiply
    17,949.80x = 24,770.81 × 9,992.01
  4. Step 4: Simplify right side
    17,949.80x = 247,510,159.76
  5. Step 5: Solve for x
    x = 247,510,159.76/17,949.80
  6. Step 6: Final answer
    x = 13,789.02

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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.