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Finding the Fourth Proportional to 12,766.74, 19,150.11 and 4,002.33

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Solution

The fourth proportional to 12,766.74, 19,150.11 and 4,002.33 is: 6,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.74 : 19,150.11 = 4,002.33 : x
  2. Step 2: Convert to fraction form
    12,766.74/19,150.11 = 4,002.33/x
  3. Step 3: Cross multiply
    12,766.74x = 19,150.11 × 4,002.33
  4. Step 4: Simplify right side
    12,766.74x = 76,645,131.57
  5. Step 5: Solve for x
    x = 76,645,131.57/12,766.74
  6. Step 6: Final answer
    x = 6,003.50

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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.