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Finding the Fourth Proportional to 20,549.97, 30,826.34 and 7,221.35

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Solution

The fourth proportional to 20,549.97, 30,826.34 and 7,221.35 is: 10,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.97 : 30,826.34 = 7,221.35 : x
  2. Step 2: Convert to fraction form
    20,549.97/30,826.34 = 7,221.35/x
  3. Step 3: Cross multiply
    20,549.97x = 30,826.34 × 7,221.35
  4. Step 4: Simplify right side
    20,549.97x = 222,607,600.12
  5. Step 5: Solve for x
    x = 222,607,600.12/20,549.97
  6. Step 6: Final answer
    x = 10,832.50

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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.