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Finding the Fourth Proportional to 12,530.80, 18,781.80 and 5,131.60

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Solution

The fourth proportional to 12,530.80, 18,781.80 and 5,131.60 is: 7,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.80 : 18,781.80 = 5,131.60 : x
  2. Step 2: Convert to fraction form
    12,530.80/18,781.80 = 5,131.60/x
  3. Step 3: Cross multiply
    12,530.80x = 18,781.80 × 5,131.60
  4. Step 4: Simplify right side
    12,530.80x = 96,380,684.88
  5. Step 5: Solve for x
    x = 96,380,684.88/12,530.80
  6. Step 6: Final answer
    x = 7,691.50

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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.