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Finding the Fourth Proportional to 26,861.76, 40,286.54 and 10,215.88

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Solution

The fourth proportional to 26,861.76, 40,286.54 and 10,215.88 is: 15,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,861.76 : 40,286.54 = 10,215.88 : x
  2. Step 2: Convert to fraction form
    26,861.76/40,286.54 = 10,215.88/x
  3. Step 3: Cross multiply
    26,861.76x = 40,286.54 × 10,215.88
  4. Step 4: Simplify right side
    26,861.76x = 411,562,458.26
  5. Step 5: Solve for x
    x = 411,562,458.26/26,861.76
  6. Step 6: Final answer
    x = 15,321.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.