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Finding the Fourth Proportional to 23,843.04, 35,764.80 and 8,257

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Solution

The fourth proportional to 23,843.04, 35,764.80 and 8,257 is: 12,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.04 : 35,764.80 = 8,257 : x
  2. Step 2: Convert to fraction form
    23,843.04/35,764.80 = 8,257/x
  3. Step 3: Cross multiply
    23,843.04x = 35,764.80 × 8,257
  4. Step 4: Simplify right side
    23,843.04x = 295,309,953.60
  5. Step 5: Solve for x
    x = 295,309,953.60/23,843.04
  6. Step 6: Final answer
    x = 12,385.58

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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.