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Finding the Fourth Proportional to 22,752.09, 34,131.78 and 7,168.50

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Solution

The fourth proportional to 22,752.09, 34,131.78 and 7,168.50 is: 10,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.09 : 34,131.78 = 7,168.50 : x
  2. Step 2: Convert to fraction form
    22,752.09/34,131.78 = 7,168.50/x
  3. Step 3: Cross multiply
    22,752.09x = 34,131.78 × 7,168.50
  4. Step 4: Simplify right side
    22,752.09x = 244,673,664.93
  5. Step 5: Solve for x
    x = 244,673,664.93/22,752.09
  6. Step 6: Final answer
    x = 10,753.90

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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.