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Finding the Fourth Proportional to 22,634.24, 33,902.22 and 13,842.50

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Solution

The fourth proportional to 22,634.24, 33,902.22 and 13,842.50 is: 20,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.24 : 33,902.22 = 13,842.50 : x
  2. Step 2: Convert to fraction form
    22,634.24/33,902.22 = 13,842.50/x
  3. Step 3: Cross multiply
    22,634.24x = 33,902.22 × 13,842.50
  4. Step 4: Simplify right side
    22,634.24x = 469,291,480.35
  5. Step 5: Solve for x
    x = 469,291,480.35/22,634.24
  6. Step 6: Final answer
    x = 20,733.70

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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.