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Finding the Fourth Proportional to 19,777.46, 29,648.96 and 8,083.22

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Solution

The fourth proportional to 19,777.46, 29,648.96 and 8,083.22 is: 12,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.46 : 29,648.96 = 8,083.22 : x
  2. Step 2: Convert to fraction form
    19,777.46/29,648.96 = 8,083.22/x
  3. Step 3: Cross multiply
    19,777.46x = 29,648.96 × 8,083.22
  4. Step 4: Simplify right side
    19,777.46x = 239,659,066.45
  5. Step 5: Solve for x
    x = 239,659,066.45/19,777.46
  6. Step 6: Final answer
    x = 12,117.79

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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.