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Finding the Fourth Proportional to 17,906.80, 24,710.65 and 9,949.53

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Solution

The fourth proportional to 17,906.80, 24,710.65 and 9,949.53 is: 13,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.80 : 24,710.65 = 9,949.53 : x
  2. Step 2: Convert to fraction form
    17,906.80/24,710.65 = 9,949.53/x
  3. Step 3: Cross multiply
    17,906.80x = 24,710.65 × 9,949.53
  4. Step 4: Simplify right side
    17,906.80x = 245,859,353.49
  5. Step 5: Solve for x
    x = 245,859,353.49/17,906.80
  6. Step 6: Final answer
    x = 13,729.94

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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.