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Finding the Fourth Proportional to 16,163.34, 24,243.14 and 5,631.56

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Solution

The fourth proportional to 16,163.34, 24,243.14 and 5,631.56 is: 8,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.34 : 24,243.14 = 5,631.56 : x
  2. Step 2: Convert to fraction form
    16,163.34/24,243.14 = 5,631.56/x
  3. Step 3: Cross multiply
    16,163.34x = 24,243.14 × 5,631.56
  4. Step 4: Simplify right side
    16,163.34x = 136,526,697.50
  5. Step 5: Solve for x
    x = 136,526,697.50/16,163.34
  6. Step 6: Final answer
    x = 8,446.69

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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.