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Finding the Fourth Proportional to 13,790.94, 20,672.01 and 5,997.66

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Solution

The fourth proportional to 13,790.94, 20,672.01 and 5,997.66 is: 8,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.94 : 20,672.01 = 5,997.66 : x
  2. Step 2: Convert to fraction form
    13,790.94/20,672.01 = 5,997.66/x
  3. Step 3: Cross multiply
    13,790.94x = 20,672.01 × 5,997.66
  4. Step 4: Simplify right side
    13,790.94x = 123,983,687.50
  5. Step 5: Solve for x
    x = 123,983,687.50/13,790.94
  6. Step 6: Final answer
    x = 8,990.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.