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Finding the Fourth Proportional to 17,829, 24,598.05 and 11,015.73

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Solution

The fourth proportional to 17,829, 24,598.05 and 11,015.73 is: 15,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829 : 24,598.05 = 11,015.73 : x
  2. Step 2: Convert to fraction form
    17,829/24,598.05 = 11,015.73/x
  3. Step 3: Cross multiply
    17,829x = 24,598.05 × 11,015.73
  4. Step 4: Simplify right side
    17,829x = 270,965,477.33
  5. Step 5: Solve for x
    x = 270,965,477.33/17,829
  6. Step 6: Final answer
    x = 15,198.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.