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Finding the Fourth Proportional to 13,720.38, 18,934.47 and 8,418.12

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Solution

The fourth proportional to 13,720.38, 18,934.47 and 8,418.12 is: 11,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.38 : 18,934.47 = 8,418.12 : x
  2. Step 2: Convert to fraction form
    13,720.38/18,934.47 = 8,418.12/x
  3. Step 3: Cross multiply
    13,720.38x = 18,934.47 × 8,418.12
  4. Step 4: Simplify right side
    13,720.38x = 159,392,640.60
  5. Step 5: Solve for x
    x = 159,392,640.60/13,720.38
  6. Step 6: Final answer
    x = 11,617.22

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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.