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Finding the Fourth Proportional to 22,635.50, 33,954.16 and 10,783.18

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Solution

The fourth proportional to 22,635.50, 33,954.16 and 10,783.18 is: 16,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.50 : 33,954.16 = 10,783.18 : x
  2. Step 2: Convert to fraction form
    22,635.50/33,954.16 = 10,783.18/x
  3. Step 3: Cross multiply
    22,635.50x = 33,954.16 × 10,783.18
  4. Step 4: Simplify right side
    22,635.50x = 366,133,819.03
  5. Step 5: Solve for x
    x = 366,133,819.03/22,635.50
  6. Step 6: Final answer
    x = 16,175.20

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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.