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Finding the Fourth Proportional to 13,647.64, 20,471.38 and 11,793.12

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Solution

The fourth proportional to 13,647.64, 20,471.38 and 11,793.12 is: 17,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.64 : 20,471.38 = 11,793.12 : x
  2. Step 2: Convert to fraction form
    13,647.64/20,471.38 = 11,793.12/x
  3. Step 3: Cross multiply
    13,647.64x = 20,471.38 × 11,793.12
  4. Step 4: Simplify right side
    13,647.64x = 241,421,440.91
  5. Step 5: Solve for x
    x = 241,421,440.91/13,647.64
  6. Step 6: Final answer
    x = 17,689.61

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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.