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Finding the Fourth Proportional to 23,878.97, 35,820.73 and 9,839.95

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Solution

The fourth proportional to 23,878.97, 35,820.73 and 9,839.95 is: 14,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.97 : 35,820.73 = 9,839.95 : x
  2. Step 2: Convert to fraction form
    23,878.97/35,820.73 = 9,839.95/x
  3. Step 3: Cross multiply
    23,878.97x = 35,820.73 × 9,839.95
  4. Step 4: Simplify right side
    23,878.97x = 352,474,114.91
  5. Step 5: Solve for x
    x = 352,474,114.91/23,878.97
  6. Step 6: Final answer
    x = 14,760.86

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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.