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Finding the Fourth Proportional to 22,662.45, 33,988.82 and 7,071.57

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Solution

The fourth proportional to 22,662.45, 33,988.82 and 7,071.57 is: 10,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.45 : 33,988.82 = 7,071.57 : x
  2. Step 2: Convert to fraction form
    22,662.45/33,988.82 = 7,071.57/x
  3. Step 3: Cross multiply
    22,662.45x = 33,988.82 × 7,071.57
  4. Step 4: Simplify right side
    22,662.45x = 240,354,284.49
  5. Step 5: Solve for x
    x = 240,354,284.49/22,662.45
  6. Step 6: Final answer
    x = 10,605.84

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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.