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Finding the Fourth Proportional to 22,103.53, 33,143.16 and 8,763

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Solution

The fourth proportional to 22,103.53, 33,143.16 and 8,763 is: 13,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.53 : 33,143.16 = 8,763 : x
  2. Step 2: Convert to fraction form
    22,103.53/33,143.16 = 8,763/x
  3. Step 3: Cross multiply
    22,103.53x = 33,143.16 × 8,763
  4. Step 4: Simplify right side
    22,103.53x = 290,433,511.08
  5. Step 5: Solve for x
    x = 290,433,511.08/22,103.53
  6. Step 6: Final answer
    x = 13,139.69

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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.