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Finding the Fourth Proportional to 13,751.50, 20,627.25 and 8,852.28

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Solution

The fourth proportional to 13,751.50, 20,627.25 and 8,852.28 is: 13,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.50 : 20,627.25 = 8,852.28 : x
  2. Step 2: Convert to fraction form
    13,751.50/20,627.25 = 8,852.28/x
  3. Step 3: Cross multiply
    13,751.50x = 20,627.25 × 8,852.28
  4. Step 4: Simplify right side
    13,751.50x = 182,598,164.99
  5. Step 5: Solve for x
    x = 182,598,164.99/13,751.50
  6. Step 6: Final answer
    x = 13,278.42

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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.