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Finding the Fourth Proportional to 15,012.38, 20,716.44 and 8,297.66

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Solution

The fourth proportional to 15,012.38, 20,716.44 and 8,297.66 is: 11,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.38 : 20,716.44 = 8,297.66 : x
  2. Step 2: Convert to fraction form
    15,012.38/20,716.44 = 8,297.66/x
  3. Step 3: Cross multiply
    15,012.38x = 20,716.44 × 8,297.66
  4. Step 4: Simplify right side
    15,012.38x = 171,897,975.53
  5. Step 5: Solve for x
    x = 171,897,975.53/15,012.38
  6. Step 6: Final answer
    x = 11,450.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.