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Finding the Fourth Proportional to 24,938, 34,414.44 and 13,760

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Solution

The fourth proportional to 24,938, 34,414.44 and 13,760 is: 18,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938 : 34,414.44 = 13,760 : x
  2. Step 2: Convert to fraction form
    24,938/34,414.44 = 13,760/x
  3. Step 3: Cross multiply
    24,938x = 34,414.44 × 13,760
  4. Step 4: Simplify right side
    24,938x = 473,542,694.40
  5. Step 5: Solve for x
    x = 473,542,694.40/24,938
  6. Step 6: Final answer
    x = 18,988.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.