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Finding the Fourth Proportional to 12,463.26, 18,704.16 and 5,891.46

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Solution

The fourth proportional to 12,463.26, 18,704.16 and 5,891.46 is: 8,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.26 : 18,704.16 = 5,891.46 : x
  2. Step 2: Convert to fraction form
    12,463.26/18,704.16 = 5,891.46/x
  3. Step 3: Cross multiply
    12,463.26x = 18,704.16 × 5,891.46
  4. Step 4: Simplify right side
    12,463.26x = 110,194,810.47
  5. Step 5: Solve for x
    x = 110,194,810.47/12,463.26
  6. Step 6: Final answer
    x = 8,841.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.