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Finding the Fourth Proportional to 14,882.97, 20,538.75 and 8,169.23

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Solution

The fourth proportional to 14,882.97, 20,538.75 and 8,169.23 is: 11,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.97 : 20,538.75 = 8,169.23 : x
  2. Step 2: Convert to fraction form
    14,882.97/20,538.75 = 8,169.23/x
  3. Step 3: Cross multiply
    14,882.97x = 20,538.75 × 8,169.23
  4. Step 4: Simplify right side
    14,882.97x = 167,785,669.97
  5. Step 5: Solve for x
    x = 167,785,669.97/14,882.97
  6. Step 6: Final answer
    x = 11,273.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.