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Finding the Fourth Proportional to 21,082.22, 31,627.88 and 7,043.50

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Solution

The fourth proportional to 21,082.22, 31,627.88 and 7,043.50 is: 10,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.22 : 31,627.88 = 7,043.50 : x
  2. Step 2: Convert to fraction form
    21,082.22/31,627.88 = 7,043.50/x
  3. Step 3: Cross multiply
    21,082.22x = 31,627.88 × 7,043.50
  4. Step 4: Simplify right side
    21,082.22x = 222,770,972.78
  5. Step 5: Solve for x
    x = 222,770,972.78/21,082.22
  6. Step 6: Final answer
    x = 10,566.77

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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.