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Finding the Fourth Proportional to 20,204.38, 27,905.38 and 13,478.32

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Solution

The fourth proportional to 20,204.38, 27,905.38 and 13,478.32 is: 18,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.38 : 27,905.38 = 13,478.32 : x
  2. Step 2: Convert to fraction form
    20,204.38/27,905.38 = 13,478.32/x
  3. Step 3: Cross multiply
    20,204.38x = 27,905.38 × 13,478.32
  4. Step 4: Simplify right side
    20,204.38x = 376,117,641.36
  5. Step 5: Solve for x
    x = 376,117,641.36/20,204.38
  6. Step 6: Final answer
    x = 18,615.65

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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.