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Finding the Fourth Proportional to 20,596.98, 30,884.40 and 6,553.20

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Solution

The fourth proportional to 20,596.98, 30,884.40 and 6,553.20 is: 9,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.98 : 30,884.40 = 6,553.20 : x
  2. Step 2: Convert to fraction form
    20,596.98/30,884.40 = 6,553.20/x
  3. Step 3: Cross multiply
    20,596.98x = 30,884.40 × 6,553.20
  4. Step 4: Simplify right side
    20,596.98x = 202,391,650.08
  5. Step 5: Solve for x
    x = 202,391,650.08/20,596.98
  6. Step 6: Final answer
    x = 9,826.28

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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.