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Finding the Fourth Proportional to 16,006.81, 24,013.77 and 6,146.11

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Solution

The fourth proportional to 16,006.81, 24,013.77 and 6,146.11 is: 9,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.81 : 24,013.77 = 6,146.11 : x
  2. Step 2: Convert to fraction form
    16,006.81/24,013.77 = 6,146.11/x
  3. Step 3: Cross multiply
    16,006.81x = 24,013.77 × 6,146.11
  4. Step 4: Simplify right side
    16,006.81x = 147,591,271.93
  5. Step 5: Solve for x
    x = 147,591,271.93/16,006.81
  6. Step 6: Final answer
    x = 9,220.53

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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.