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Finding the Fourth Proportional to 27,674.67, 38,191.03 and 15,099.42

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Solution

The fourth proportional to 27,674.67, 38,191.03 and 15,099.42 is: 20,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.67 : 38,191.03 = 15,099.42 : x
  2. Step 2: Convert to fraction form
    27,674.67/38,191.03 = 15,099.42/x
  3. Step 3: Cross multiply
    27,674.67x = 38,191.03 × 15,099.42
  4. Step 4: Simplify right side
    27,674.67x = 576,662,507.67
  5. Step 5: Solve for x
    x = 576,662,507.67/27,674.67
  6. Step 6: Final answer
    x = 20,837.19

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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.