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Finding the Fourth Proportional to 22,017.50, 33,013.94 and 7,222.44

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Solution

The fourth proportional to 22,017.50, 33,013.94 and 7,222.44 is: 10,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017.50 : 33,013.94 = 7,222.44 : x
  2. Step 2: Convert to fraction form
    22,017.50/33,013.94 = 7,222.44/x
  3. Step 3: Cross multiply
    22,017.50x = 33,013.94 × 7,222.44
  4. Step 4: Simplify right side
    22,017.50x = 238,441,200.81
  5. Step 5: Solve for x
    x = 238,441,200.81/22,017.50
  6. Step 6: Final answer
    x = 10,829.62

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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.