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Finding the Fourth Proportional to 16,004.82, 24,010.78 and 6,144.10

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Solution

The fourth proportional to 16,004.82, 24,010.78 and 6,144.10 is: 9,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.82 : 24,010.78 = 6,144.10 : x
  2. Step 2: Convert to fraction form
    16,004.82/24,010.78 = 6,144.10/x
  3. Step 3: Cross multiply
    16,004.82x = 24,010.78 × 6,144.10
  4. Step 4: Simplify right side
    16,004.82x = 147,524,633.40
  5. Step 5: Solve for x
    x = 147,524,633.40/16,004.82
  6. Step 6: Final answer
    x = 9,217.51

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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.