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Finding the Fourth Proportional to 25,200.82, 37,806.87 and 7,672.02

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Solution

The fourth proportional to 25,200.82, 37,806.87 and 7,672.02 is: 11,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.82 : 37,806.87 = 7,672.02 : x
  2. Step 2: Convert to fraction form
    25,200.82/37,806.87 = 7,672.02/x
  3. Step 3: Cross multiply
    25,200.82x = 37,806.87 × 7,672.02
  4. Step 4: Simplify right side
    25,200.82x = 290,055,062.78
  5. Step 5: Solve for x
    x = 290,055,062.78/25,200.82
  6. Step 6: Final answer
    x = 11,509.75

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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.