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Finding the Fourth Proportional to 20,147.82, 27,807.30 and 16,785.30

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Solution

The fourth proportional to 20,147.82, 27,807.30 and 16,785.30 is: 23,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.82 : 27,807.30 = 16,785.30 : x
  2. Step 2: Convert to fraction form
    20,147.82/27,807.30 = 16,785.30/x
  3. Step 3: Cross multiply
    20,147.82x = 27,807.30 × 16,785.30
  4. Step 4: Simplify right side
    20,147.82x = 466,753,872.69
  5. Step 5: Solve for x
    x = 466,753,872.69/20,147.82
  6. Step 6: Final answer
    x = 23,166.47

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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.