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Finding the Fourth Proportional to 22,071.48, 33,096.80 and 8,021.72

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Solution

The fourth proportional to 22,071.48, 33,096.80 and 8,021.72 is: 12,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.48 : 33,096.80 = 8,021.72 : x
  2. Step 2: Convert to fraction form
    22,071.48/33,096.80 = 8,021.72/x
  3. Step 3: Cross multiply
    22,071.48x = 33,096.80 × 8,021.72
  4. Step 4: Simplify right side
    22,071.48x = 265,493,262.50
  5. Step 5: Solve for x
    x = 265,493,262.50/22,071.48
  6. Step 6: Final answer
    x = 12,028.79

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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.