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Finding the Fourth Proportional to 13,463.29, 18,578.92 and 7,494.83

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Solution

The fourth proportional to 13,463.29, 18,578.92 and 7,494.83 is: 10,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.29 : 18,578.92 = 7,494.83 : x
  2. Step 2: Convert to fraction form
    13,463.29/18,578.92 = 7,494.83/x
  3. Step 3: Cross multiply
    13,463.29x = 18,578.92 × 7,494.83
  4. Step 4: Simplify right side
    13,463.29x = 139,245,716.61
  5. Step 5: Solve for x
    x = 139,245,716.61/13,463.29
  6. Step 6: Final answer
    x = 10,342.63

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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.