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Finding the Fourth Proportional to 21,825.62, 32,744.82 and 7,034.22

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Solution

The fourth proportional to 21,825.62, 32,744.82 and 7,034.22 is: 10,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.62 : 32,744.82 = 7,034.22 : x
  2. Step 2: Convert to fraction form
    21,825.62/32,744.82 = 7,034.22/x
  3. Step 3: Cross multiply
    21,825.62x = 32,744.82 × 7,034.22
  4. Step 4: Simplify right side
    21,825.62x = 230,334,267.74
  5. Step 5: Solve for x
    x = 230,334,267.74/21,825.62
  6. Step 6: Final answer
    x = 10,553.39

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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.