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Finding the Fourth Proportional to 20,264.50, 30,398.28 and 5,473.20

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Solution

The fourth proportional to 20,264.50, 30,398.28 and 5,473.20 is: 8,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.50 : 30,398.28 = 5,473.20 : x
  2. Step 2: Convert to fraction form
    20,264.50/30,398.28 = 5,473.20/x
  3. Step 3: Cross multiply
    20,264.50x = 30,398.28 × 5,473.20
  4. Step 4: Simplify right side
    20,264.50x = 166,375,838.73
  5. Step 5: Solve for x
    x = 166,375,838.73/20,264.50
  6. Step 6: Final answer
    x = 8,210.21

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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.