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Finding the Fourth Proportional to 20,400.96, 30,597.12 and 6,546.72

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Solution

The fourth proportional to 20,400.96, 30,597.12 and 6,546.72 is: 9,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.96 : 30,597.12 = 6,546.72 : x
  2. Step 2: Convert to fraction form
    20,400.96/30,597.12 = 6,546.72/x
  3. Step 3: Cross multiply
    20,400.96x = 30,597.12 × 6,546.72
  4. Step 4: Simplify right side
    20,400.96x = 200,310,777.45
  5. Step 5: Solve for x
    x = 200,310,777.45/20,400.96
  6. Step 6: Final answer
    x = 9,818.69

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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.