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Finding the Fourth Proportional to 25,157.32, 37,733 and 8,517.32

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Solution

The fourth proportional to 25,157.32, 37,733 and 8,517.32 is: 12,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157.32 : 37,733 = 8,517.32 : x
  2. Step 2: Convert to fraction form
    25,157.32/37,733 = 8,517.32/x
  3. Step 3: Cross multiply
    25,157.32x = 37,733 × 8,517.32
  4. Step 4: Simplify right side
    25,157.32x = 321,384,035.56
  5. Step 5: Solve for x
    x = 321,384,035.56/25,157.32
  6. Step 6: Final answer
    x = 12,774.97

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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.