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Finding the Fourth Proportional to 23,544, 35,309.52 and 8,758.80

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Solution

The fourth proportional to 23,544, 35,309.52 and 8,758.80 is: 13,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 35,309.52 = 8,758.80 : x
  2. Step 2: Convert to fraction form
    23,544/35,309.52 = 8,758.80/x
  3. Step 3: Cross multiply
    23,544x = 35,309.52 × 8,758.80
  4. Step 4: Simplify right side
    23,544x = 309,269,023.78
  5. Step 5: Solve for x
    x = 309,269,023.78/23,544
  6. Step 6: Final answer
    x = 13,135.79

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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.