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Finding the Fourth Proportional to 16,006.82, 24,013.78 and 6,146.10

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Solution

The fourth proportional to 16,006.82, 24,013.78 and 6,146.10 is: 9,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.82 : 24,013.78 = 6,146.10 : x
  2. Step 2: Convert to fraction form
    16,006.82/24,013.78 = 6,146.10/x
  3. Step 3: Cross multiply
    16,006.82x = 24,013.78 × 6,146.10
  4. Step 4: Simplify right side
    16,006.82x = 147,591,093.26
  5. Step 5: Solve for x
    x = 147,591,093.26/16,006.82
  6. Step 6: Final answer
    x = 9,220.51

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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.