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Finding the Fourth Proportional to 14,942.07, 20,620.91 and 8,229.13

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Solution

The fourth proportional to 14,942.07, 20,620.91 and 8,229.13 is: 11,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.07 : 20,620.91 = 8,229.13 : x
  2. Step 2: Convert to fraction form
    14,942.07/20,620.91 = 8,229.13/x
  3. Step 3: Cross multiply
    14,942.07x = 20,620.91 × 8,229.13
  4. Step 4: Simplify right side
    14,942.07x = 169,692,149.11
  5. Step 5: Solve for x
    x = 169,692,149.11/14,942.07
  6. Step 6: Final answer
    x = 11,356.67

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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.