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Finding the Fourth Proportional to 22,581.99, 33,842.21 and 13,202.19

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Solution

The fourth proportional to 22,581.99, 33,842.21 and 13,202.19 is: 19,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.99 : 33,842.21 = 13,202.19 : x
  2. Step 2: Convert to fraction form
    22,581.99/33,842.21 = 13,202.19/x
  3. Step 3: Cross multiply
    22,581.99x = 33,842.21 × 13,202.19
  4. Step 4: Simplify right side
    22,581.99x = 446,791,220.43
  5. Step 5: Solve for x
    x = 446,791,220.43/22,581.99
  6. Step 6: Final answer
    x = 19,785.29

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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.