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Finding the Fourth Proportional to 17,759.73, 24,508.11 and 9,801.78

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Solution

The fourth proportional to 17,759.73, 24,508.11 and 9,801.78 is: 13,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.73 : 24,508.11 = 9,801.78 : x
  2. Step 2: Convert to fraction form
    17,759.73/24,508.11 = 9,801.78/x
  3. Step 3: Cross multiply
    17,759.73x = 24,508.11 × 9,801.78
  4. Step 4: Simplify right side
    17,759.73x = 240,223,102.44
  5. Step 5: Solve for x
    x = 240,223,102.44/17,759.73
  6. Step 6: Final answer
    x = 13,526.28

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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.