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Finding the Fourth Proportional to 15,628.32, 23,441.76 and 5,766.96

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Solution

The fourth proportional to 15,628.32, 23,441.76 and 5,766.96 is: 8,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628.32 : 23,441.76 = 5,766.96 : x
  2. Step 2: Convert to fraction form
    15,628.32/23,441.76 = 5,766.96/x
  3. Step 3: Cross multiply
    15,628.32x = 23,441.76 × 5,766.96
  4. Step 4: Simplify right side
    15,628.32x = 135,187,692.25
  5. Step 5: Solve for x
    x = 135,187,692.25/15,628.32
  6. Step 6: Final answer
    x = 8,650.17

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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.