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Finding the Fourth Proportional to 23,201.82, 34,788.06 and 8,410.50

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Solution

The fourth proportional to 23,201.82, 34,788.06 and 8,410.50 is: 12,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.82 : 34,788.06 = 8,410.50 : x
  2. Step 2: Convert to fraction form
    23,201.82/34,788.06 = 8,410.50/x
  3. Step 3: Cross multiply
    23,201.82x = 34,788.06 × 8,410.50
  4. Step 4: Simplify right side
    23,201.82x = 292,584,978.63
  5. Step 5: Solve for x
    x = 292,584,978.63/23,201.82
  6. Step 6: Final answer
    x = 12,610.43

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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.