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Finding the Fourth Proportional to 12,772.06, 17,619.73 and 7,464.53

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Solution

The fourth proportional to 12,772.06, 17,619.73 and 7,464.53 is: 10,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.06 : 17,619.73 = 7,464.53 : x
  2. Step 2: Convert to fraction form
    12,772.06/17,619.73 = 7,464.53/x
  3. Step 3: Cross multiply
    12,772.06x = 17,619.73 × 7,464.53
  4. Step 4: Simplify right side
    12,772.06x = 131,523,028.56
  5. Step 5: Solve for x
    x = 131,523,028.56/12,772.06
  6. Step 6: Final answer
    x = 10,297.72

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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.