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Finding the Fourth Proportional to 13,665.66, 20,469.74 and 6,276.30

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Solution

The fourth proportional to 13,665.66, 20,469.74 and 6,276.30 is: 9,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.66 : 20,469.74 = 6,276.30 : x
  2. Step 2: Convert to fraction form
    13,665.66/20,469.74 = 6,276.30/x
  3. Step 3: Cross multiply
    13,665.66x = 20,469.74 × 6,276.30
  4. Step 4: Simplify right side
    13,665.66x = 128,474,197.78
  5. Step 5: Solve for x
    x = 128,474,197.78/13,665.66
  6. Step 6: Final answer
    x = 9,401.24

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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.