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Finding the Fourth Proportional to 12,617.31, 17,411.71 and 6,951.94

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Solution

The fourth proportional to 12,617.31, 17,411.71 and 6,951.94 is: 9,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.31 : 17,411.71 = 6,951.94 : x
  2. Step 2: Convert to fraction form
    12,617.31/17,411.71 = 6,951.94/x
  3. Step 3: Cross multiply
    12,617.31x = 17,411.71 × 6,951.94
  4. Step 4: Simplify right side
    12,617.31x = 121,045,163.22
  5. Step 5: Solve for x
    x = 121,045,163.22/12,617.31
  6. Step 6: Final answer
    x = 9,593.58

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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.