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Finding the Fourth Proportional to 13,721.28, 20,581.92 and 3,333

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Solution

The fourth proportional to 13,721.28, 20,581.92 and 3,333 is: 4,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.28 : 20,581.92 = 3,333 : x
  2. Step 2: Convert to fraction form
    13,721.28/20,581.92 = 3,333/x
  3. Step 3: Cross multiply
    13,721.28x = 20,581.92 × 3,333
  4. Step 4: Simplify right side
    13,721.28x = 68,599,539.36
  5. Step 5: Solve for x
    x = 68,599,539.36/13,721.28
  6. Step 6: Final answer
    x = 4,999.50

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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.