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Finding the Fourth Proportional to 14,768.08, 20,375.76 and 9,100.96

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Solution

The fourth proportional to 14,768.08, 20,375.76 and 9,100.96 is: 12,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.08 : 20,375.76 = 9,100.96 : x
  2. Step 2: Convert to fraction form
    14,768.08/20,375.76 = 9,100.96/x
  3. Step 3: Cross multiply
    14,768.08x = 20,375.76 × 9,100.96
  4. Step 4: Simplify right side
    14,768.08x = 185,438,976.73
  5. Step 5: Solve for x
    x = 185,438,976.73/14,768.08
  6. Step 6: Final answer
    x = 12,556.74

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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.