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Finding the Fourth Proportional to 17,166, 25,749.16 and 6,777.75

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Solution

The fourth proportional to 17,166, 25,749.16 and 6,777.75 is: 10,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166 : 25,749.16 = 6,777.75 : x
  2. Step 2: Convert to fraction form
    17,166/25,749.16 = 6,777.75/x
  3. Step 3: Cross multiply
    17,166x = 25,749.16 × 6,777.75
  4. Step 4: Simplify right side
    17,166x = 174,521,369.19
  5. Step 5: Solve for x
    x = 174,521,369.19/17,166
  6. Step 6: Final answer
    x = 10,166.69

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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.