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Finding the Fourth Proportional to 19,765.49, 29,659.16 and 8,086.91

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Solution

The fourth proportional to 19,765.49, 29,659.16 and 8,086.91 is: 12,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.49 : 29,659.16 = 8,086.91 : x
  2. Step 2: Convert to fraction form
    19,765.49/29,659.16 = 8,086.91/x
  3. Step 3: Cross multiply
    19,765.49x = 29,659.16 × 8,086.91
  4. Step 4: Simplify right side
    19,765.49x = 239,850,829.52
  5. Step 5: Solve for x
    x = 239,850,829.52/19,765.49
  6. Step 6: Final answer
    x = 12,134.83

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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.