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Finding the Fourth Proportional to 23,841.52, 35,754.18 and 8,255.50

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Solution

The fourth proportional to 23,841.52, 35,754.18 and 8,255.50 is: 12,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.52 : 35,754.18 = 8,255.50 : x
  2. Step 2: Convert to fraction form
    23,841.52/35,754.18 = 8,255.50/x
  3. Step 3: Cross multiply
    23,841.52x = 35,754.18 × 8,255.50
  4. Step 4: Simplify right side
    23,841.52x = 295,168,632.99
  5. Step 5: Solve for x
    x = 295,168,632.99/23,841.52
  6. Step 6: Final answer
    x = 12,380.45

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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.