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Finding the Fourth Proportional to 12,883.64, 17,787.33 and 9,893.66

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Solution

The fourth proportional to 12,883.64, 17,787.33 and 9,893.66 is: 13,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.64 : 17,787.33 = 9,893.66 : x
  2. Step 2: Convert to fraction form
    12,883.64/17,787.33 = 9,893.66/x
  3. Step 3: Cross multiply
    12,883.64x = 17,787.33 × 9,893.66
  4. Step 4: Simplify right side
    12,883.64x = 175,981,795.33
  5. Step 5: Solve for x
    x = 175,981,795.33/12,883.64
  6. Step 6: Final answer
    x = 13,659.32

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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.