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Finding the Fourth Proportional to 22,563.50, 33,844.56 and 10,725.80

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Solution

The fourth proportional to 22,563.50, 33,844.56 and 10,725.80 is: 16,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.50 : 33,844.56 = 10,725.80 : x
  2. Step 2: Convert to fraction form
    22,563.50/33,844.56 = 10,725.80/x
  3. Step 3: Cross multiply
    22,563.50x = 33,844.56 × 10,725.80
  4. Step 4: Simplify right side
    22,563.50x = 363,009,981.65
  5. Step 5: Solve for x
    x = 363,009,981.65/22,563.50
  6. Step 6: Final answer
    x = 16,088.37

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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.