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Finding the Fourth Proportional to 23,791.60, 35,703.84 and 8,209.28

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Solution

The fourth proportional to 23,791.60, 35,703.84 and 8,209.28 is: 12,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.60 : 35,703.84 = 8,209.28 : x
  2. Step 2: Convert to fraction form
    23,791.60/35,703.84 = 8,209.28/x
  3. Step 3: Cross multiply
    23,791.60x = 35,703.84 × 8,209.28
  4. Step 4: Simplify right side
    23,791.60x = 293,102,819.64
  5. Step 5: Solve for x
    x = 293,102,819.64/23,791.60
  6. Step 6: Final answer
    x = 12,319.59

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1.5x scale

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.