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Finding the Fourth Proportional to 20,443.48, 30,667.74 and 7,297.24

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Solution

The fourth proportional to 20,443.48, 30,667.74 and 7,297.24 is: 10,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.48 : 30,667.74 = 7,297.24 : x
  2. Step 2: Convert to fraction form
    20,443.48/30,667.74 = 7,297.24/x
  3. Step 3: Cross multiply
    20,443.48x = 30,667.74 × 7,297.24
  4. Step 4: Simplify right side
    20,443.48x = 223,789,859.04
  5. Step 5: Solve for x
    x = 223,789,859.04/20,443.48
  6. Step 6: Final answer
    x = 10,946.76

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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.