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Finding the Fourth Proportional to 20,044.48, 27,648.48 and 13,760.32

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Solution

The fourth proportional to 20,044.48, 27,648.48 and 13,760.32 is: 18,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,044.48 : 27,648.48 = 13,760.32 : x
  2. Step 2: Convert to fraction form
    20,044.48/27,648.48 = 13,760.32/x
  3. Step 3: Cross multiply
    20,044.48x = 27,648.48 × 13,760.32
  4. Step 4: Simplify right side
    20,044.48x = 380,451,932.31
  5. Step 5: Solve for x
    x = 380,451,932.31/20,044.48
  6. Step 6: Final answer
    x = 18,980.38

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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.