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Finding the Fourth Proportional to 27,679.02, 38,197.90 and 15,744.08

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Solution

The fourth proportional to 27,679.02, 38,197.90 and 15,744.08 is: 21,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.02 : 38,197.90 = 15,744.08 : x
  2. Step 2: Convert to fraction form
    27,679.02/38,197.90 = 15,744.08/x
  3. Step 3: Cross multiply
    27,679.02x = 38,197.90 × 15,744.08
  4. Step 4: Simplify right side
    27,679.02x = 601,390,793.43
  5. Step 5: Solve for x
    x = 601,390,793.43/27,679.02
  6. Step 6: Final answer
    x = 21,727.32

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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.