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Finding the Fourth Proportional to 12,544.63, 17,297.31 and 10,268.73

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Solution

The fourth proportional to 12,544.63, 17,297.31 and 10,268.73 is: 14,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.63 : 17,297.31 = 10,268.73 : x
  2. Step 2: Convert to fraction form
    12,544.63/17,297.31 = 10,268.73/x
  3. Step 3: Cross multiply
    12,544.63x = 17,297.31 × 10,268.73
  4. Step 4: Simplify right side
    12,544.63x = 177,621,444.62
  5. Step 5: Solve for x
    x = 177,621,444.62/12,544.63
  6. Step 6: Final answer
    x = 14,159.16

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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.