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Finding the Fourth Proportional to 26,680.56, 39,993.50 and 10,029

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Solution

The fourth proportional to 26,680.56, 39,993.50 and 10,029 is: 15,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,680.56 : 39,993.50 = 10,029 : x
  2. Step 2: Convert to fraction form
    26,680.56/39,993.50 = 10,029/x
  3. Step 3: Cross multiply
    26,680.56x = 39,993.50 × 10,029
  4. Step 4: Simplify right side
    26,680.56x = 401,094,811.50
  5. Step 5: Solve for x
    x = 401,094,811.50/26,680.56
  6. Step 6: Final answer
    x = 15,033.22

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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.