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Finding the Fourth Proportional to 23,978.50, 35,967.81 and 8,392.48

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Solution

The fourth proportional to 23,978.50, 35,967.81 and 8,392.48 is: 12,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.50 : 35,967.81 = 8,392.48 : x
  2. Step 2: Convert to fraction form
    23,978.50/35,967.81 = 8,392.48/x
  3. Step 3: Cross multiply
    23,978.50x = 35,967.81 × 8,392.48
  4. Step 4: Simplify right side
    23,978.50x = 301,859,067.62
  5. Step 5: Solve for x
    x = 301,859,067.62/23,978.50
  6. Step 6: Final answer
    x = 12,588.74

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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.