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Finding the Fourth Proportional to 15,327.60, 22,962.60 and 7,906.80

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Solution

The fourth proportional to 15,327.60, 22,962.60 and 7,906.80 is: 11,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,327.60 : 22,962.60 = 7,906.80 : x
  2. Step 2: Convert to fraction form
    15,327.60/22,962.60 = 7,906.80/x
  3. Step 3: Cross multiply
    15,327.60x = 22,962.60 × 7,906.80
  4. Step 4: Simplify right side
    15,327.60x = 181,560,685.68
  5. Step 5: Solve for x
    x = 181,560,685.68/15,327.60
  6. Step 6: Final answer
    x = 11,845.34

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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.