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Finding the Fourth Proportional to 12,874.49, 19,306.87 and 5,944.13

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Solution

The fourth proportional to 12,874.49, 19,306.87 and 5,944.13 is: 8,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.49 : 19,306.87 = 5,944.13 : x
  2. Step 2: Convert to fraction form
    12,874.49/19,306.87 = 5,944.13/x
  3. Step 3: Cross multiply
    12,874.49x = 19,306.87 × 5,944.13
  4. Step 4: Simplify right side
    12,874.49x = 114,762,433.78
  5. Step 5: Solve for x
    x = 114,762,433.78/12,874.49
  6. Step 6: Final answer
    x = 8,913.94

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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.