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Finding the Fourth Proportional to 21,777.75, 32,667.03 and 6,195.78

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Solution

The fourth proportional to 21,777.75, 32,667.03 and 6,195.78 is: 9,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.75 : 32,667.03 = 6,195.78 : x
  2. Step 2: Convert to fraction form
    21,777.75/32,667.03 = 6,195.78/x
  3. Step 3: Cross multiply
    21,777.75x = 32,667.03 × 6,195.78
  4. Step 4: Simplify right side
    21,777.75x = 202,397,731.13
  5. Step 5: Solve for x
    x = 202,397,731.13/21,777.75
  6. Step 6: Final answer
    x = 9,293.79

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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.