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Finding the Fourth Proportional to 26,803.76, 40,206.24 and 10,171.62

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Solution

The fourth proportional to 26,803.76, 40,206.24 and 10,171.62 is: 15,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,803.76 : 40,206.24 = 10,171.62 : x
  2. Step 2: Convert to fraction form
    26,803.76/40,206.24 = 10,171.62/x
  3. Step 3: Cross multiply
    26,803.76x = 40,206.24 × 10,171.62
  4. Step 4: Simplify right side
    26,803.76x = 408,962,594.91
  5. Step 5: Solve for x
    x = 408,962,594.91/26,803.76
  6. Step 6: Final answer
    x = 15,257.66

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