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Finding the Fourth Proportional to 27,693.96, 38,218.32 and 15,118.80

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Solution

The fourth proportional to 27,693.96, 38,218.32 and 15,118.80 is: 20,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.96 : 38,218.32 = 15,118.80 : x
  2. Step 2: Convert to fraction form
    27,693.96/38,218.32 = 15,118.80/x
  3. Step 3: Cross multiply
    27,693.96x = 38,218.32 × 15,118.80
  4. Step 4: Simplify right side
    27,693.96x = 577,815,136.42
  5. Step 5: Solve for x
    x = 577,815,136.42/27,693.96
  6. Step 6: Final answer
    x = 20,864.30

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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.