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Finding the Fourth Proportional to 15,899.75, 23,850.13 and 7,997.95

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Solution

The fourth proportional to 15,899.75, 23,850.13 and 7,997.95 is: 11,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.75 : 23,850.13 = 7,997.95 : x
  2. Step 2: Convert to fraction form
    15,899.75/23,850.13 = 7,997.95/x
  3. Step 3: Cross multiply
    15,899.75x = 23,850.13 × 7,997.95
  4. Step 4: Simplify right side
    15,899.75x = 190,752,147.23
  5. Step 5: Solve for x
    x = 190,752,147.23/15,899.75
  6. Step 6: Final answer
    x = 11,997.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.