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Finding the Fourth Proportional to 22,302.92, 33,456 and 6,721.76

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Solution

The fourth proportional to 22,302.92, 33,456 and 6,721.76 is: 10,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.92 : 33,456 = 6,721.76 : x
  2. Step 2: Convert to fraction form
    22,302.92/33,456 = 6,721.76/x
  3. Step 3: Cross multiply
    22,302.92x = 33,456 × 6,721.76
  4. Step 4: Simplify right side
    22,302.92x = 224,883,202.56
  5. Step 5: Solve for x
    x = 224,883,202.56/22,302.92
  6. Step 6: Final answer
    x = 10,083.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.