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Finding the Fourth Proportional to 22,605.26, 33,907.43 and 7,022.84

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Solution

The fourth proportional to 22,605.26, 33,907.43 and 7,022.84 is: 10,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.26 : 33,907.43 = 7,022.84 : x
  2. Step 2: Convert to fraction form
    22,605.26/33,907.43 = 7,022.84/x
  3. Step 3: Cross multiply
    22,605.26x = 33,907.43 × 7,022.84
  4. Step 4: Simplify right side
    22,605.26x = 238,126,251.05
  5. Step 5: Solve for x
    x = 238,126,251.05/22,605.26
  6. Step 6: Final answer
    x = 10,534.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.