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Finding the Fourth Proportional to 12,591.69, 17,376.17 and 6,926.43

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Solution

The fourth proportional to 12,591.69, 17,376.17 and 6,926.43 is: 9,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.69 : 17,376.17 = 6,926.43 : x
  2. Step 2: Convert to fraction form
    12,591.69/17,376.17 = 6,926.43/x
  3. Step 3: Cross multiply
    12,591.69x = 17,376.17 × 6,926.43
  4. Step 4: Simplify right side
    12,591.69x = 120,354,799.05
  5. Step 5: Solve for x
    x = 120,354,799.05/12,591.69
  6. Step 6: Final answer
    x = 9,558.28

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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.