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Finding the Fourth Proportional to 25,523.82, 38,287.44 and 6,803.64

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Solution

The fourth proportional to 25,523.82, 38,287.44 and 6,803.64 is: 10,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.82 : 38,287.44 = 6,803.64 : x
  2. Step 2: Convert to fraction form
    25,523.82/38,287.44 = 6,803.64/x
  3. Step 3: Cross multiply
    25,523.82x = 38,287.44 × 6,803.64
  4. Step 4: Simplify right side
    25,523.82x = 260,493,958.28
  5. Step 5: Solve for x
    x = 260,493,958.28/25,523.82
  6. Step 6: Final answer
    x = 10,205.92

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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.