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Finding the Fourth Proportional to 25,519.32, 38,280.96 and 7,989

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Solution

The fourth proportional to 25,519.32, 38,280.96 and 7,989 is: 11,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,519.32 : 38,280.96 = 7,989 : x
  2. Step 2: Convert to fraction form
    25,519.32/38,280.96 = 7,989/x
  3. Step 3: Cross multiply
    25,519.32x = 38,280.96 × 7,989
  4. Step 4: Simplify right side
    25,519.32x = 305,826,589.44
  5. Step 5: Solve for x
    x = 305,826,589.44/25,519.32
  6. Step 6: Final answer
    x = 11,984.12

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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.