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Finding the Fourth Proportional to 20,190.60, 27,863.82 and 12,228.32

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Solution

The fourth proportional to 20,190.60, 27,863.82 and 12,228.32 is: 16,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190.60 : 27,863.82 = 12,228.32 : x
  2. Step 2: Convert to fraction form
    20,190.60/27,863.82 = 12,228.32/x
  3. Step 3: Cross multiply
    20,190.60x = 27,863.82 × 12,228.32
  4. Step 4: Simplify right side
    20,190.60x = 340,727,707.38
  5. Step 5: Solve for x
    x = 340,727,707.38/20,190.60
  6. Step 6: Final answer
    x = 16,875.56

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Why These Related Problems?

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