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Finding the Fourth Proportional to 13,617.64, 20,327.09 and 11,682.28

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Solution

The fourth proportional to 13,617.64, 20,327.09 and 11,682.28 is: 17,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.64 : 20,327.09 = 11,682.28 : x
  2. Step 2: Convert to fraction form
    13,617.64/20,327.09 = 11,682.28/x
  3. Step 3: Cross multiply
    13,617.64x = 20,327.09 × 11,682.28
  4. Step 4: Simplify right side
    13,617.64x = 237,466,756.97
  5. Step 5: Solve for x
    x = 237,466,756.97/13,617.64
  6. Step 6: Final answer
    x = 17,438.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.