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Finding the Fourth Proportional to 12,311.24, 16,989.51 and 6,722.24

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Solution

The fourth proportional to 12,311.24, 16,989.51 and 6,722.24 is: 9,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.24 : 16,989.51 = 6,722.24 : x
  2. Step 2: Convert to fraction form
    12,311.24/16,989.51 = 6,722.24/x
  3. Step 3: Cross multiply
    12,311.24x = 16,989.51 × 6,722.24
  4. Step 4: Simplify right side
    12,311.24x = 114,207,563.70
  5. Step 5: Solve for x
    x = 114,207,563.70/12,311.24
  6. Step 6: Final answer
    x = 9,276.69

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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.