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Finding the Fourth Proportional to 23,530.98, 35,287.05 and 10,374

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Solution

The fourth proportional to 23,530.98, 35,287.05 and 10,374 is: 15,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.98 : 35,287.05 = 10,374 : x
  2. Step 2: Convert to fraction form
    23,530.98/35,287.05 = 10,374/x
  3. Step 3: Cross multiply
    23,530.98x = 35,287.05 × 10,374
  4. Step 4: Simplify right side
    23,530.98x = 366,067,856.70
  5. Step 5: Solve for x
    x = 366,067,856.70/23,530.98
  6. Step 6: Final answer
    x = 15,556.85

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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.