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Finding the Fourth Proportional to 22,605, 33,914.61 and 10,135.50

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Solution

The fourth proportional to 22,605, 33,914.61 and 10,135.50 is: 15,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605 : 33,914.61 = 10,135.50 : x
  2. Step 2: Convert to fraction form
    22,605/33,914.61 = 10,135.50/x
  3. Step 3: Cross multiply
    22,605x = 33,914.61 × 10,135.50
  4. Step 4: Simplify right side
    22,605x = 343,741,529.66
  5. Step 5: Solve for x
    x = 343,741,529.66/22,605
  6. Step 6: Final answer
    x = 15,206.44

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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.