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Finding the Fourth Proportional to 20,469.40, 30,717.02 and 11,721.40

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Solution

The fourth proportional to 20,469.40, 30,717.02 and 11,721.40 is: 17,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.40 : 30,717.02 = 11,721.40 : x
  2. Step 2: Convert to fraction form
    20,469.40/30,717.02 = 11,721.40/x
  3. Step 3: Cross multiply
    20,469.40x = 30,717.02 × 11,721.40
  4. Step 4: Simplify right side
    20,469.40x = 360,046,478.23
  5. Step 5: Solve for x
    x = 360,046,478.23/20,469.40
  6. Step 6: Final answer
    x = 17,589.50

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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.