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Finding the Fourth Proportional to 25,148.68, 37,723.50 and 7,618.44

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Solution

The fourth proportional to 25,148.68, 37,723.50 and 7,618.44 is: 11,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.68 : 37,723.50 = 7,618.44 : x
  2. Step 2: Convert to fraction form
    25,148.68/37,723.50 = 7,618.44/x
  3. Step 3: Cross multiply
    25,148.68x = 37,723.50 × 7,618.44
  4. Step 4: Simplify right side
    25,148.68x = 287,394,221.34
  5. Step 5: Solve for x
    x = 287,394,221.34/25,148.68
  6. Step 6: Final answer
    x = 11,427.81

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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.