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Finding the Fourth Proportional to 12,793.50, 19,188.62 and 4,028.49

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Solution

The fourth proportional to 12,793.50, 19,188.62 and 4,028.49 is: 6,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.50 : 19,188.62 = 4,028.49 : x
  2. Step 2: Convert to fraction form
    12,793.50/19,188.62 = 4,028.49/x
  3. Step 3: Cross multiply
    12,793.50x = 19,188.62 × 4,028.49
  4. Step 4: Simplify right side
    12,793.50x = 77,301,143.64
  5. Step 5: Solve for x
    x = 77,301,143.64/12,793.50
  6. Step 6: Final answer
    x = 6,042.22

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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.