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Finding the Fourth Proportional to 27,661.48, 38,171.54 and 16,924.20

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Solution

The fourth proportional to 27,661.48, 38,171.54 and 16,924.20 is: 23,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.48 : 38,171.54 = 16,924.20 : x
  2. Step 2: Convert to fraction form
    27,661.48/38,171.54 = 16,924.20/x
  3. Step 3: Cross multiply
    27,661.48x = 38,171.54 × 16,924.20
  4. Step 4: Simplify right side
    27,661.48x = 646,022,777.27
  5. Step 5: Solve for x
    x = 646,022,777.27/27,661.48
  6. Step 6: Final answer
    x = 23,354.60

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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.