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Finding the Fourth Proportional to 15,012.75, 20,715.80 and 8,297.47

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Solution

The fourth proportional to 15,012.75, 20,715.80 and 8,297.47 is: 11,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.75 : 20,715.80 = 8,297.47 : x
  2. Step 2: Convert to fraction form
    15,012.75/20,715.80 = 8,297.47/x
  3. Step 3: Cross multiply
    15,012.75x = 20,715.80 × 8,297.47
  4. Step 4: Simplify right side
    15,012.75x = 171,888,729.03
  5. Step 5: Solve for x
    x = 171,888,729.03/15,012.75
  6. Step 6: Final answer
    x = 11,449.52

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