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Finding the Fourth Proportional to 25,219.15, 37,832.87 and 7,684.88

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Solution

The fourth proportional to 25,219.15, 37,832.87 and 7,684.88 is: 11,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.15 : 37,832.87 = 7,684.88 : x
  2. Step 2: Convert to fraction form
    25,219.15/37,832.87 = 7,684.88/x
  3. Step 3: Cross multiply
    25,219.15x = 37,832.87 × 7,684.88
  4. Step 4: Simplify right side
    25,219.15x = 290,740,896.05
  5. Step 5: Solve for x
    x = 290,740,896.05/25,219.15
  6. Step 6: Final answer
    x = 11,528.58

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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.