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Finding the Fourth Proportional to 18,401, 27,605.58 and 6,714.18

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Solution

The fourth proportional to 18,401, 27,605.58 and 6,714.18 is: 10,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,401 : 27,605.58 = 6,714.18 : x
  2. Step 2: Convert to fraction form
    18,401/27,605.58 = 6,714.18/x
  3. Step 3: Cross multiply
    18,401x = 27,605.58 × 6,714.18
  4. Step 4: Simplify right side
    18,401x = 185,348,833.12
  5. Step 5: Solve for x
    x = 185,348,833.12/18,401
  6. Step 6: Final answer
    x = 10,072.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.