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Finding the Fourth Proportional to 12,515.26, 18,773.16 and 5,942.12

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Solution

The fourth proportional to 12,515.26, 18,773.16 and 5,942.12 is: 8,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515.26 : 18,773.16 = 5,942.12 : x
  2. Step 2: Convert to fraction form
    12,515.26/18,773.16 = 5,942.12/x
  3. Step 3: Cross multiply
    12,515.26x = 18,773.16 × 5,942.12
  4. Step 4: Simplify right side
    12,515.26x = 111,552,369.50
  5. Step 5: Solve for x
    x = 111,552,369.50/12,515.26
  6. Step 6: Final answer
    x = 8,913.31

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Why These Related Problems?

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