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Finding the Fourth Proportional to 17,277.24, 25,908.89 and 6,745.76

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Solution

The fourth proportional to 17,277.24, 25,908.89 and 6,745.76 is: 10,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.24 : 25,908.89 = 6,745.76 : x
  2. Step 2: Convert to fraction form
    17,277.24/25,908.89 = 6,745.76/x
  3. Step 3: Cross multiply
    17,277.24x = 25,908.89 × 6,745.76
  4. Step 4: Simplify right side
    17,277.24x = 174,774,990.53
  5. Step 5: Solve for x
    x = 174,774,990.53/17,277.24
  6. Step 6: Final answer
    x = 10,115.91

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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.