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Finding the Fourth Proportional to 17,940.81, 24,759.29 and 9,983.21

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Solution

The fourth proportional to 17,940.81, 24,759.29 and 9,983.21 is: 13,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940.81 : 24,759.29 = 9,983.21 : x
  2. Step 2: Convert to fraction form
    17,940.81/24,759.29 = 9,983.21/x
  3. Step 3: Cross multiply
    17,940.81x = 24,759.29 × 9,983.21
  4. Step 4: Simplify right side
    17,940.81x = 247,177,191.52
  5. Step 5: Solve for x
    x = 247,177,191.52/17,940.81
  6. Step 6: Final answer
    x = 13,777.37

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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.