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Finding the Fourth Proportional to 17,758.22, 24,505.97 and 9,800.38

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Solution

The fourth proportional to 17,758.22, 24,505.97 and 9,800.38 is: 13,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.22 : 24,505.97 = 9,800.38 : x
  2. Step 2: Convert to fraction form
    17,758.22/24,505.97 = 9,800.38/x
  3. Step 3: Cross multiply
    17,758.22x = 24,505.97 × 9,800.38
  4. Step 4: Simplify right side
    17,758.22x = 240,167,708.00
  5. Step 5: Solve for x
    x = 240,167,708.00/17,758.22
  6. Step 6: Final answer
    x = 13,524.31

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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.