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Finding the Fourth Proportional to 22,272.56, 33,409.65 and 7,481.96

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Solution

The fourth proportional to 22,272.56, 33,409.65 and 7,481.96 is: 11,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.56 : 33,409.65 = 7,481.96 : x
  2. Step 2: Convert to fraction form
    22,272.56/33,409.65 = 7,481.96/x
  3. Step 3: Cross multiply
    22,272.56x = 33,409.65 × 7,481.96
  4. Step 4: Simplify right side
    22,272.56x = 249,969,664.91
  5. Step 5: Solve for x
    x = 249,969,664.91/22,272.56
  6. Step 6: Final answer
    x = 11,223.21

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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.