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Finding the Fourth Proportional to 17,198.81, 25,790.16 and 6,105.25

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Solution

The fourth proportional to 17,198.81, 25,790.16 and 6,105.25 is: 9,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.81 : 25,790.16 = 6,105.25 : x
  2. Step 2: Convert to fraction form
    17,198.81/25,790.16 = 6,105.25/x
  3. Step 3: Cross multiply
    17,198.81x = 25,790.16 × 6,105.25
  4. Step 4: Simplify right side
    17,198.81x = 157,455,374.34
  5. Step 5: Solve for x
    x = 157,455,374.34/17,198.81
  6. Step 6: Final answer
    x = 9,155.02

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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.