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Finding the Fourth Proportional to 22,510.50, 33,738.78 and 10,486.44

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Solution

The fourth proportional to 22,510.50, 33,738.78 and 10,486.44 is: 15,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.50 : 33,738.78 = 10,486.44 : x
  2. Step 2: Convert to fraction form
    22,510.50/33,738.78 = 10,486.44/x
  3. Step 3: Cross multiply
    22,510.50x = 33,738.78 × 10,486.44
  4. Step 4: Simplify right side
    22,510.50x = 353,799,692.14
  5. Step 5: Solve for x
    x = 353,799,692.14/22,510.50
  6. Step 6: Final answer
    x = 15,717.10

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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.