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Finding the Fourth Proportional to 16,041.38, 24,072.09 and 7,722.27

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Solution

The fourth proportional to 16,041.38, 24,072.09 and 7,722.27 is: 11,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.38 : 24,072.09 = 7,722.27 : x
  2. Step 2: Convert to fraction form
    16,041.38/24,072.09 = 7,722.27/x
  3. Step 3: Cross multiply
    16,041.38x = 24,072.09 × 7,722.27
  4. Step 4: Simplify right side
    16,041.38x = 185,891,149.49
  5. Step 5: Solve for x
    x = 185,891,149.49/16,041.38
  6. Step 6: Final answer
    x = 11,588.23

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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.