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Finding the Fourth Proportional to 13,892, 19,171.14 and 7,604.24

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Solution

The fourth proportional to 13,892, 19,171.14 and 7,604.24 is: 10,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892 : 19,171.14 = 7,604.24 : x
  2. Step 2: Convert to fraction form
    13,892/19,171.14 = 7,604.24/x
  3. Step 3: Cross multiply
    13,892x = 19,171.14 × 7,604.24
  4. Step 4: Simplify right side
    13,892x = 145,781,949.63
  5. Step 5: Solve for x
    x = 145,781,949.63/13,892
  6. Step 6: Final answer
    x = 10,493.95

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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.