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Finding the Fourth Proportional to 14,768.10, 20,380.77 and 8,394.57

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Solution

The fourth proportional to 14,768.10, 20,380.77 and 8,394.57 is: 11,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.10 : 20,380.77 = 8,394.57 : x
  2. Step 2: Convert to fraction form
    14,768.10/20,380.77 = 8,394.57/x
  3. Step 3: Cross multiply
    14,768.10x = 20,380.77 × 8,394.57
  4. Step 4: Simplify right side
    14,768.10x = 171,087,800.42
  5. Step 5: Solve for x
    x = 171,087,800.42/14,768.10
  6. Step 6: Final answer
    x = 11,584.96

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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.