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Finding the Fourth Proportional to 16,617.84, 24,905.07 and 6,745.56

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Solution

The fourth proportional to 16,617.84, 24,905.07 and 6,745.56 is: 10,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.84 : 24,905.07 = 6,745.56 : x
  2. Step 2: Convert to fraction form
    16,617.84/24,905.07 = 6,745.56/x
  3. Step 3: Cross multiply
    16,617.84x = 24,905.07 × 6,745.56
  4. Step 4: Simplify right side
    16,617.84x = 167,998,643.99
  5. Step 5: Solve for x
    x = 167,998,643.99/16,617.84
  6. Step 6: Final answer
    x = 10,109.54

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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.