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Finding the Fourth Proportional to 19,524.88, 29,278.92 and 6,194.80

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Solution

The fourth proportional to 19,524.88, 29,278.92 and 6,194.80 is: 9,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.88 : 29,278.92 = 6,194.80 : x
  2. Step 2: Convert to fraction form
    19,524.88/29,278.92 = 6,194.80/x
  3. Step 3: Cross multiply
    19,524.88x = 29,278.92 × 6,194.80
  4. Step 4: Simplify right side
    19,524.88x = 181,377,053.62
  5. Step 5: Solve for x
    x = 181,377,053.62/19,524.88
  6. Step 6: Final answer
    x = 9,289.53

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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.