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Finding the Fourth Proportional to 20,728.80, 31,083.84 and 5,934.33

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Solution

The fourth proportional to 20,728.80, 31,083.84 and 5,934.33 is: 8,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.80 : 31,083.84 = 5,934.33 : x
  2. Step 2: Convert to fraction form
    20,728.80/31,083.84 = 5,934.33/x
  3. Step 3: Cross multiply
    20,728.80x = 31,083.84 × 5,934.33
  4. Step 4: Simplify right side
    20,728.80x = 184,461,764.23
  5. Step 5: Solve for x
    x = 184,461,764.23/20,728.80
  6. Step 6: Final answer
    x = 8,898.82

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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.