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Finding the Fourth Proportional to 16,067.21, 24,101.96 and 4,972.47

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Solution

The fourth proportional to 16,067.21, 24,101.96 and 4,972.47 is: 7,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.21 : 24,101.96 = 4,972.47 : x
  2. Step 2: Convert to fraction form
    16,067.21/24,101.96 = 4,972.47/x
  3. Step 3: Cross multiply
    16,067.21x = 24,101.96 × 4,972.47
  4. Step 4: Simplify right side
    16,067.21x = 119,846,355.05
  5. Step 5: Solve for x
    x = 119,846,355.05/16,067.21
  6. Step 6: Final answer
    x = 7,459.06

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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.