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Finding the Fourth Proportional to 13,760.64, 20,626.38 and 11,806.92

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Solution

The fourth proportional to 13,760.64, 20,626.38 and 11,806.92 is: 17,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.64 : 20,626.38 = 11,806.92 : x
  2. Step 2: Convert to fraction form
    13,760.64/20,626.38 = 11,806.92/x
  3. Step 3: Cross multiply
    13,760.64x = 20,626.38 × 11,806.92
  4. Step 4: Simplify right side
    13,760.64x = 243,534,018.55
  5. Step 5: Solve for x
    x = 243,534,018.55/13,760.64
  6. Step 6: Final answer
    x = 17,697.87

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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.