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Finding the Fourth Proportional to 16,338.34, 24,511.20 and 5,950

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Solution

The fourth proportional to 16,338.34, 24,511.20 and 5,950 is: 8,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.34 : 24,511.20 = 5,950 : x
  2. Step 2: Convert to fraction form
    16,338.34/24,511.20 = 5,950/x
  3. Step 3: Cross multiply
    16,338.34x = 24,511.20 × 5,950
  4. Step 4: Simplify right side
    16,338.34x = 145,841,640
  5. Step 5: Solve for x
    x = 145,841,640/16,338.34
  6. Step 6: Final answer
    x = 8,926.34

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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.