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Finding the Fourth Proportional to 20,513.78, 30,777.83 and 6,475.98

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Solution

The fourth proportional to 20,513.78, 30,777.83 and 6,475.98 is: 9,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.78 : 30,777.83 = 6,475.98 : x
  2. Step 2: Convert to fraction form
    20,513.78/30,777.83 = 6,475.98/x
  3. Step 3: Cross multiply
    20,513.78x = 30,777.83 × 6,475.98
  4. Step 4: Simplify right side
    20,513.78x = 199,316,611.52
  5. Step 5: Solve for x
    x = 199,316,611.52/20,513.78
  6. Step 6: Final answer
    x = 9,716.23

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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.