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Finding the Fourth Proportional to 16,008.16, 24,019.44 and 10,163.20

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Solution

The fourth proportional to 16,008.16, 24,019.44 and 10,163.20 is: 15,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.16 : 24,019.44 = 10,163.20 : x
  2. Step 2: Convert to fraction form
    16,008.16/24,019.44 = 10,163.20/x
  3. Step 3: Cross multiply
    16,008.16x = 24,019.44 × 10,163.20
  4. Step 4: Simplify right side
    16,008.16x = 244,114,372.61
  5. Step 5: Solve for x
    x = 244,114,372.61/16,008.16
  6. Step 6: Final answer
    x = 15,249.37

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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.