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Finding the Fourth Proportional to 22,457.96, 33,692.70 and 9,305.96

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Solution

The fourth proportional to 22,457.96, 33,692.70 and 9,305.96 is: 13,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.96 : 33,692.70 = 9,305.96 : x
  2. Step 2: Convert to fraction form
    22,457.96/33,692.70 = 9,305.96/x
  3. Step 3: Cross multiply
    22,457.96x = 33,692.70 × 9,305.96
  4. Step 4: Simplify right side
    22,457.96x = 313,542,918.49
  5. Step 5: Solve for x
    x = 313,542,918.49/22,457.96
  6. Step 6: Final answer
    x = 13,961.33

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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.