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Finding the Fourth Proportional to 21,211.62, 31,812.18 and 7,171.34

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Solution

The fourth proportional to 21,211.62, 31,812.18 and 7,171.34 is: 10,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.62 : 31,812.18 = 7,171.34 : x
  2. Step 2: Convert to fraction form
    21,211.62/31,812.18 = 7,171.34/x
  3. Step 3: Cross multiply
    21,211.62x = 31,812.18 × 7,171.34
  4. Step 4: Simplify right side
    21,211.62x = 228,135,799.86
  5. Step 5: Solve for x
    x = 228,135,799.86/21,211.62
  6. Step 6: Final answer
    x = 10,755.23

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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.