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Finding the Fourth Proportional to 27,761.92, 38,311.50 and 15,186.67

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Solution

The fourth proportional to 27,761.92, 38,311.50 and 15,186.67 is: 20,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.92 : 38,311.50 = 15,186.67 : x
  2. Step 2: Convert to fraction form
    27,761.92/38,311.50 = 15,186.67/x
  3. Step 3: Cross multiply
    27,761.92x = 38,311.50 × 15,186.67
  4. Step 4: Simplify right side
    27,761.92x = 581,824,107.71
  5. Step 5: Solve for x
    x = 581,824,107.71/27,761.92
  6. Step 6: Final answer
    x = 20,957.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.