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Finding the Fourth Proportional to 12,954.52, 17,883.30 and 8,478.46

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Solution

The fourth proportional to 12,954.52, 17,883.30 and 8,478.46 is: 11,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.52 : 17,883.30 = 8,478.46 : x
  2. Step 2: Convert to fraction form
    12,954.52/17,883.30 = 8,478.46/x
  3. Step 3: Cross multiply
    12,954.52x = 17,883.30 × 8,478.46
  4. Step 4: Simplify right side
    12,954.52x = 151,622,843.72
  5. Step 5: Solve for x
    x = 151,622,843.72/12,954.52
  6. Step 6: Final answer
    x = 11,704.24

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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.