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Finding the Fourth Proportional to 12,120.52, 16,722.18 and 6,814.20

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Solution

The fourth proportional to 12,120.52, 16,722.18 and 6,814.20 is: 9,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.52 : 16,722.18 = 6,814.20 : x
  2. Step 2: Convert to fraction form
    12,120.52/16,722.18 = 6,814.20/x
  3. Step 3: Cross multiply
    12,120.52x = 16,722.18 × 6,814.20
  4. Step 4: Simplify right side
    12,120.52x = 113,948,278.96
  5. Step 5: Solve for x
    x = 113,948,278.96/12,120.52
  6. Step 6: Final answer
    x = 9,401.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.