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Finding the Fourth Proportional to 22,102.50, 33,109.41 and 10,975.53

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Solution

The fourth proportional to 22,102.50, 33,109.41 and 10,975.53 is: 16,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.50 : 33,109.41 = 10,975.53 : x
  2. Step 2: Convert to fraction form
    22,102.50/33,109.41 = 10,975.53/x
  3. Step 3: Cross multiply
    22,102.50x = 33,109.41 × 10,975.53
  4. Step 4: Simplify right side
    22,102.50x = 363,393,322.74
  5. Step 5: Solve for x
    x = 363,393,322.74/22,102.50
  6. Step 6: Final answer
    x = 16,441.28

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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.