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Finding the Fourth Proportional to 27,674.76, 38,191.30 and 15,099.50

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Solution

The fourth proportional to 27,674.76, 38,191.30 and 15,099.50 is: 20,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.76 : 38,191.30 = 15,099.50 : x
  2. Step 2: Convert to fraction form
    27,674.76/38,191.30 = 15,099.50/x
  3. Step 3: Cross multiply
    27,674.76x = 38,191.30 × 15,099.50
  4. Step 4: Simplify right side
    27,674.76x = 576,669,534.35
  5. Step 5: Solve for x
    x = 576,669,534.35/27,674.76
  6. Step 6: Final answer
    x = 20,837.38

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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.