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Finding the Fourth Proportional to 27,873.01, 38,462.19 and 16,540.56

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Solution

The fourth proportional to 27,873.01, 38,462.19 and 16,540.56 is: 22,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.01 : 38,462.19 = 16,540.56 : x
  2. Step 2: Convert to fraction form
    27,873.01/38,462.19 = 16,540.56/x
  3. Step 3: Cross multiply
    27,873.01x = 38,462.19 × 16,540.56
  4. Step 4: Simplify right side
    27,873.01x = 636,186,161.43
  5. Step 5: Solve for x
    x = 636,186,161.43/27,873.01
  6. Step 6: Final answer
    x = 22,824.45

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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.