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Finding the Fourth Proportional to 23,959.80, 35,945.70 and 9,169.88

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Solution

The fourth proportional to 23,959.80, 35,945.70 and 9,169.88 is: 13,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,959.80 : 35,945.70 = 9,169.88 : x
  2. Step 2: Convert to fraction form
    23,959.80/35,945.70 = 9,169.88/x
  3. Step 3: Cross multiply
    23,959.80x = 35,945.70 × 9,169.88
  4. Step 4: Simplify right side
    23,959.80x = 329,617,755.52
  5. Step 5: Solve for x
    x = 329,617,755.52/23,959.80
  6. Step 6: Final answer
    x = 13,757.12

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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.