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Finding the Fourth Proportional to 16,836, 25,236.96 and 8,077.20

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Solution

The fourth proportional to 16,836, 25,236.96 and 8,077.20 is: 12,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836 : 25,236.96 = 8,077.20 : x
  2. Step 2: Convert to fraction form
    16,836/25,236.96 = 8,077.20/x
  3. Step 3: Cross multiply
    16,836x = 25,236.96 × 8,077.20
  4. Step 4: Simplify right side
    16,836x = 203,843,973.31
  5. Step 5: Solve for x
    x = 203,843,973.31/16,836
  6. Step 6: Final answer
    x = 12,107.62

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