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Finding the Fourth Proportional to 13,942.48, 20,923.80 and 8,093.20

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Solution

The fourth proportional to 13,942.48, 20,923.80 and 8,093.20 is: 12,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.48 : 20,923.80 = 8,093.20 : x
  2. Step 2: Convert to fraction form
    13,942.48/20,923.80 = 8,093.20/x
  3. Step 3: Cross multiply
    13,942.48x = 20,923.80 × 8,093.20
  4. Step 4: Simplify right side
    13,942.48x = 169,340,498.16
  5. Step 5: Solve for x
    x = 169,340,498.16/13,942.48
  6. Step 6: Final answer
    x = 12,145.65

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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.