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Finding the Fourth Proportional to 21,255.68, 31,887.39 and 7,024.97

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Solution

The fourth proportional to 21,255.68, 31,887.39 and 7,024.97 is: 10,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.68 : 31,887.39 = 7,024.97 : x
  2. Step 2: Convert to fraction form
    21,255.68/31,887.39 = 7,024.97/x
  3. Step 3: Cross multiply
    21,255.68x = 31,887.39 × 7,024.97
  4. Step 4: Simplify right side
    21,255.68x = 224,007,958.13
  5. Step 5: Solve for x
    x = 224,007,958.13/21,255.68
  6. Step 6: Final answer
    x = 10,538.73

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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.