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Finding the Fourth Proportional to 25,121.82, 37,684.08 and 7,591.20

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Solution

The fourth proportional to 25,121.82, 37,684.08 and 7,591.20 is: 11,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,121.82 : 37,684.08 = 7,591.20 : x
  2. Step 2: Convert to fraction form
    25,121.82/37,684.08 = 7,591.20/x
  3. Step 3: Cross multiply
    25,121.82x = 37,684.08 × 7,591.20
  4. Step 4: Simplify right side
    25,121.82x = 286,067,388.10
  5. Step 5: Solve for x
    x = 286,067,388.10/25,121.82
  6. Step 6: Final answer
    x = 11,387.21

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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.