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Finding the Fourth Proportional to 21,171.33, 31,757.76 and 8,024.67

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Solution

The fourth proportional to 21,171.33, 31,757.76 and 8,024.67 is: 12,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.33 : 31,757.76 = 8,024.67 : x
  2. Step 2: Convert to fraction form
    21,171.33/31,757.76 = 8,024.67/x
  3. Step 3: Cross multiply
    21,171.33x = 31,757.76 × 8,024.67
  4. Step 4: Simplify right side
    21,171.33x = 254,845,543.94
  5. Step 5: Solve for x
    x = 254,845,543.94/21,171.33
  6. Step 6: Final answer
    x = 12,037.29

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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.