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Finding the Fourth Proportional to 19,524.99, 29,288.77 and 7,677.83

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Solution

The fourth proportional to 19,524.99, 29,288.77 and 7,677.83 is: 11,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.99 : 29,288.77 = 7,677.83 : x
  2. Step 2: Convert to fraction form
    19,524.99/29,288.77 = 7,677.83/x
  3. Step 3: Cross multiply
    19,524.99x = 29,288.77 × 7,677.83
  4. Step 4: Simplify right side
    19,524.99x = 224,874,196.97
  5. Step 5: Solve for x
    x = 224,874,196.97/19,524.99
  6. Step 6: Final answer
    x = 11,517.25

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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.