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Finding the Fourth Proportional to 11,824.99, 17,721.01 and 5,974.77

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Solution

The fourth proportional to 11,824.99, 17,721.01 and 5,974.77 is: 8,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.99 : 17,721.01 = 5,974.77 : x
  2. Step 2: Convert to fraction form
    11,824.99/17,721.01 = 5,974.77/x
  3. Step 3: Cross multiply
    11,824.99x = 17,721.01 × 5,974.77
  4. Step 4: Simplify right side
    11,824.99x = 105,878,958.92
  5. Step 5: Solve for x
    x = 105,878,958.92/11,824.99
  6. Step 6: Final answer
    x = 8,953.83

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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.