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Finding the Fourth Proportional to 20,378.01, 30,554.85 and 7,046.64

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Solution

The fourth proportional to 20,378.01, 30,554.85 and 7,046.64 is: 10,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.01 : 30,554.85 = 7,046.64 : x
  2. Step 2: Convert to fraction form
    20,378.01/30,554.85 = 7,046.64/x
  3. Step 3: Cross multiply
    20,378.01x = 30,554.85 × 7,046.64
  4. Step 4: Simplify right side
    20,378.01x = 215,309,028.20
  5. Step 5: Solve for x
    x = 215,309,028.20/20,378.01
  6. Step 6: Final answer
    x = 10,565.75

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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.