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Finding the Fourth Proportional to 27,548.01, 38,016.42 and 16,218

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Solution

The fourth proportional to 27,548.01, 38,016.42 and 16,218 is: 22,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.01 : 38,016.42 = 16,218 : x
  2. Step 2: Convert to fraction form
    27,548.01/38,016.42 = 16,218/x
  3. Step 3: Cross multiply
    27,548.01x = 38,016.42 × 16,218
  4. Step 4: Simplify right side
    27,548.01x = 616,550,299.56
  5. Step 5: Solve for x
    x = 616,550,299.56/27,548.01
  6. Step 6: Final answer
    x = 22,380.94

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1.5x scale

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.