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Finding the Fourth Proportional to 16,014, 24,021 and 5,626.08

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Solution

The fourth proportional to 16,014, 24,021 and 5,626.08 is: 8,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014 : 24,021 = 5,626.08 : x
  2. Step 2: Convert to fraction form
    16,014/24,021 = 5,626.08/x
  3. Step 3: Cross multiply
    16,014x = 24,021 × 5,626.08
  4. Step 4: Simplify right side
    16,014x = 135,144,067.68
  5. Step 5: Solve for x
    x = 135,144,067.68/16,014
  6. Step 6: Final answer
    x = 8,439.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.