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Finding the Fourth Proportional to 15,677.92, 23,520.12 and 6,912.64

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Solution

The fourth proportional to 15,677.92, 23,520.12 and 6,912.64 is: 10,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.92 : 23,520.12 = 6,912.64 : x
  2. Step 2: Convert to fraction form
    15,677.92/23,520.12 = 6,912.64/x
  3. Step 3: Cross multiply
    15,677.92x = 23,520.12 × 6,912.64
  4. Step 4: Simplify right side
    15,677.92x = 162,586,122.32
  5. Step 5: Solve for x
    x = 162,586,122.32/15,677.92
  6. Step 6: Final answer
    x = 10,370.39

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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.