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Finding the Fourth Proportional to 12,455.20, 18,657.60 and 7,760.80

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Solution

The fourth proportional to 12,455.20, 18,657.60 and 7,760.80 is: 11,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.20 : 18,657.60 = 7,760.80 : x
  2. Step 2: Convert to fraction form
    12,455.20/18,657.60 = 7,760.80/x
  3. Step 3: Cross multiply
    12,455.20x = 18,657.60 × 7,760.80
  4. Step 4: Simplify right side
    12,455.20x = 144,797,902.08
  5. Step 5: Solve for x
    x = 144,797,902.08/12,455.20
  6. Step 6: Final answer
    x = 11,625.50

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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.