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Finding the Fourth Proportional to 12,311.44, 16,989.72 and 6,722.40

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Solution

The fourth proportional to 12,311.44, 16,989.72 and 6,722.40 is: 9,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.44 : 16,989.72 = 6,722.40 : x
  2. Step 2: Convert to fraction form
    12,311.44/16,989.72 = 6,722.40/x
  3. Step 3: Cross multiply
    12,311.44x = 16,989.72 × 6,722.40
  4. Step 4: Simplify right side
    12,311.44x = 114,211,693.73
  5. Step 5: Solve for x
    x = 114,211,693.73/12,311.44
  6. Step 6: Final answer
    x = 9,276.88

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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.