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Finding the Fourth Proportional to 12,787.26, 17,646.24 and 7,121.85

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Solution

The fourth proportional to 12,787.26, 17,646.24 and 7,121.85 is: 9,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.26 : 17,646.24 = 7,121.85 : x
  2. Step 2: Convert to fraction form
    12,787.26/17,646.24 = 7,121.85/x
  3. Step 3: Cross multiply
    12,787.26x = 17,646.24 × 7,121.85
  4. Step 4: Simplify right side
    12,787.26x = 125,673,874.34
  5. Step 5: Solve for x
    x = 125,673,874.34/12,787.26
  6. Step 6: Final answer
    x = 9,828.05

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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.