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Finding the Fourth Proportional to 20,178.38, 27,848.64 and 12,220.40

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Solution

The fourth proportional to 20,178.38, 27,848.64 and 12,220.40 is: 16,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.38 : 27,848.64 = 12,220.40 : x
  2. Step 2: Convert to fraction form
    20,178.38/27,848.64 = 12,220.40/x
  3. Step 3: Cross multiply
    20,178.38x = 27,848.64 × 12,220.40
  4. Step 4: Simplify right side
    20,178.38x = 340,321,520.26
  5. Step 5: Solve for x
    x = 340,321,520.26/20,178.38
  6. Step 6: Final answer
    x = 16,865.65

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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.