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Finding the Fourth Proportional to 12,691.75, 19,046.27 and 7,630.33

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Solution

The fourth proportional to 12,691.75, 19,046.27 and 7,630.33 is: 11,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.75 : 19,046.27 = 7,630.33 : x
  2. Step 2: Convert to fraction form
    12,691.75/19,046.27 = 7,630.33/x
  3. Step 3: Cross multiply
    12,691.75x = 19,046.27 × 7,630.33
  4. Step 4: Simplify right side
    12,691.75x = 145,329,325.37
  5. Step 5: Solve for x
    x = 145,329,325.37/12,691.75
  6. Step 6: Final answer
    x = 11,450.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.