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Finding the Fourth Proportional to 20,271.66, 30,399.74 and 9,738.68

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Solution

The fourth proportional to 20,271.66, 30,399.74 and 9,738.68 is: 14,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.66 : 30,399.74 = 9,738.68 : x
  2. Step 2: Convert to fraction form
    20,271.66/30,399.74 = 9,738.68/x
  3. Step 3: Cross multiply
    20,271.66x = 30,399.74 × 9,738.68
  4. Step 4: Simplify right side
    20,271.66x = 296,053,175.77
  5. Step 5: Solve for x
    x = 296,053,175.77/20,271.66
  6. Step 6: Final answer
    x = 14,604.29

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1.5x scale

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.