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Finding the Fourth Proportional to 25,297.26, 37,944.96 and 7,766.64

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Solution

The fourth proportional to 25,297.26, 37,944.96 and 7,766.64 is: 11,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297.26 : 37,944.96 = 7,766.64 : x
  2. Step 2: Convert to fraction form
    25,297.26/37,944.96 = 7,766.64/x
  3. Step 3: Cross multiply
    25,297.26x = 37,944.96 × 7,766.64
  4. Step 4: Simplify right side
    25,297.26x = 294,704,844.13
  5. Step 5: Solve for x
    x = 294,704,844.13/25,297.26
  6. Step 6: Final answer
    x = 11,649.67

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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.