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Finding the Fourth Proportional to 22,296.56, 33,444.90 and 9,149.12

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Solution

The fourth proportional to 22,296.56, 33,444.90 and 9,149.12 is: 13,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.56 : 33,444.90 = 9,149.12 : x
  2. Step 2: Convert to fraction form
    22,296.56/33,444.90 = 9,149.12/x
  3. Step 3: Cross multiply
    22,296.56x = 33,444.90 × 9,149.12
  4. Step 4: Simplify right side
    22,296.56x = 305,991,403.49
  5. Step 5: Solve for x
    x = 305,991,403.49/22,296.56
  6. Step 6: Final answer
    x = 13,723.70

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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.