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Finding the Fourth Proportional to 25,773.32, 38,657.82 and 13,286.60

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Solution

The fourth proportional to 25,773.32, 38,657.82 and 13,286.60 is: 19,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.32 : 38,657.82 = 13,286.60 : x
  2. Step 2: Convert to fraction form
    25,773.32/38,657.82 = 13,286.60/x
  3. Step 3: Cross multiply
    25,773.32x = 38,657.82 × 13,286.60
  4. Step 4: Simplify right side
    25,773.32x = 513,630,991.21
  5. Step 5: Solve for x
    x = 513,630,991.21/25,773.32
  6. Step 6: Final answer
    x = 19,928.79

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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.