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Finding the Fourth Proportional to 25,309.32, 37,959.66 and 6,837

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Solution

The fourth proportional to 25,309.32, 37,959.66 and 6,837 is: 10,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.32 : 37,959.66 = 6,837 : x
  2. Step 2: Convert to fraction form
    25,309.32/37,959.66 = 6,837/x
  3. Step 3: Cross multiply
    25,309.32x = 37,959.66 × 6,837
  4. Step 4: Simplify right side
    25,309.32x = 259,530,195.42
  5. Step 5: Solve for x
    x = 259,530,195.42/25,309.32
  6. Step 6: Final answer
    x = 10,254.33

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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.