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Finding the Fourth Proportional to 13,720.29, 18,934.88 and 8,414.39

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Solution

The fourth proportional to 13,720.29, 18,934.88 and 8,414.39 is: 11,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.29 : 18,934.88 = 8,414.39 : x
  2. Step 2: Convert to fraction form
    13,720.29/18,934.88 = 8,414.39/x
  3. Step 3: Cross multiply
    13,720.29x = 18,934.88 × 8,414.39
  4. Step 4: Simplify right side
    13,720.29x = 159,325,328.18
  5. Step 5: Solve for x
    x = 159,325,328.18/13,720.29
  6. Step 6: Final answer
    x = 11,612.39

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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.