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Finding the Fourth Proportional to 16,840.32, 23,240.05 and 9,286.76

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Solution

The fourth proportional to 16,840.32, 23,240.05 and 9,286.76 is: 12,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.32 : 23,240.05 = 9,286.76 : x
  2. Step 2: Convert to fraction form
    16,840.32/23,240.05 = 9,286.76/x
  3. Step 3: Cross multiply
    16,840.32x = 23,240.05 × 9,286.76
  4. Step 4: Simplify right side
    16,840.32x = 215,824,720.30
  5. Step 5: Solve for x
    x = 215,824,720.30/16,840.32
  6. Step 6: Final answer
    x = 12,815.96

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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.