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Finding the Fourth Proportional to 12,297.26, 16,963.56 and 10,160.15

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Solution

The fourth proportional to 12,297.26, 16,963.56 and 10,160.15 is: 14,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.26 : 16,963.56 = 10,160.15 : x
  2. Step 2: Convert to fraction form
    12,297.26/16,963.56 = 10,160.15/x
  3. Step 3: Cross multiply
    12,297.26x = 16,963.56 × 10,160.15
  4. Step 4: Simplify right side
    12,297.26x = 172,352,314.13
  5. Step 5: Solve for x
    x = 172,352,314.13/12,297.26
  6. Step 6: Final answer
    x = 14,015.51

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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.