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Finding the Fourth Proportional to 22,143.70, 33,199.14 and 8,995

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Solution

The fourth proportional to 22,143.70, 33,199.14 and 8,995 is: 13,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.70 : 33,199.14 = 8,995 : x
  2. Step 2: Convert to fraction form
    22,143.70/33,199.14 = 8,995/x
  3. Step 3: Cross multiply
    22,143.70x = 33,199.14 × 8,995
  4. Step 4: Simplify right side
    22,143.70x = 298,626,264.30
  5. Step 5: Solve for x
    x = 298,626,264.30/22,143.70
  6. Step 6: Final answer
    x = 13,485.83

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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.