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Finding the Fourth Proportional to 13,689.88, 18,892.17 and 8,974.13

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Solution

The fourth proportional to 13,689.88, 18,892.17 and 8,974.13 is: 12,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.88 : 18,892.17 = 8,974.13 : x
  2. Step 2: Convert to fraction form
    13,689.88/18,892.17 = 8,974.13/x
  3. Step 3: Cross multiply
    13,689.88x = 18,892.17 × 8,974.13
  4. Step 4: Simplify right side
    13,689.88x = 169,540,695.10
  5. Step 5: Solve for x
    x = 169,540,695.10/13,689.88
  6. Step 6: Final answer
    x = 12,384.38

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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.