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Finding the Fourth Proportional to 12,801.82, 19,211.43 and 7,856.37

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Solution

The fourth proportional to 12,801.82, 19,211.43 and 7,856.37 is: 11,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.82 : 19,211.43 = 7,856.37 : x
  2. Step 2: Convert to fraction form
    12,801.82/19,211.43 = 7,856.37/x
  3. Step 3: Cross multiply
    12,801.82x = 19,211.43 × 7,856.37
  4. Step 4: Simplify right side
    12,801.82x = 150,932,102.31
  5. Step 5: Solve for x
    x = 150,932,102.31/12,801.82
  6. Step 6: Final answer
    x = 11,789.89

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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.