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Finding the Fourth Proportional to 12,787.25, 17,644.56 and 7,121.21

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Solution

The fourth proportional to 12,787.25, 17,644.56 and 7,121.21 is: 9,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.25 : 17,644.56 = 7,121.21 : x
  2. Step 2: Convert to fraction form
    12,787.25/17,644.56 = 7,121.21/x
  3. Step 3: Cross multiply
    12,787.25x = 17,644.56 × 7,121.21
  4. Step 4: Simplify right side
    12,787.25x = 125,650,528.89
  5. Step 5: Solve for x
    x = 125,650,528.89/12,787.25
  6. Step 6: Final answer
    x = 9,826.24

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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.