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Finding the Fourth Proportional to 21,272.33, 31,892.83 and 7,228.57

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Solution

The fourth proportional to 21,272.33, 31,892.83 and 7,228.57 is: 10,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.33 : 31,892.83 = 7,228.57 : x
  2. Step 2: Convert to fraction form
    21,272.33/31,892.83 = 7,228.57/x
  3. Step 3: Cross multiply
    21,272.33x = 31,892.83 × 7,228.57
  4. Step 4: Simplify right side
    21,272.33x = 230,539,358.55
  5. Step 5: Solve for x
    x = 230,539,358.55/21,272.33
  6. Step 6: Final answer
    x = 10,837.53

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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.