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Finding the Fourth Proportional to 21,177.69, 31,754.38 and 8,021.67

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Solution

The fourth proportional to 21,177.69, 31,754.38 and 8,021.67 is: 12,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.69 : 31,754.38 = 8,021.67 : x
  2. Step 2: Convert to fraction form
    21,177.69/31,754.38 = 8,021.67/x
  3. Step 3: Cross multiply
    21,177.69x = 31,754.38 × 8,021.67
  4. Step 4: Simplify right side
    21,177.69x = 254,723,157.41
  5. Step 5: Solve for x
    x = 254,723,157.41/21,177.69
  6. Step 6: Final answer
    x = 12,027.90

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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.