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Finding the Fourth Proportional to 23,633.42, 35,456.28 and 8,843.50

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Solution

The fourth proportional to 23,633.42, 35,456.28 and 8,843.50 is: 13,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.42 : 35,456.28 = 8,843.50 : x
  2. Step 2: Convert to fraction form
    23,633.42/35,456.28 = 8,843.50/x
  3. Step 3: Cross multiply
    23,633.42x = 35,456.28 × 8,843.50
  4. Step 4: Simplify right side
    23,633.42x = 313,557,612.18
  5. Step 5: Solve for x
    x = 313,557,612.18/23,633.42
  6. Step 6: Final answer
    x = 13,267.55

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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.