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Finding the Fourth Proportional to 13,646.64, 20,469.89 and 11,792.12

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Solution

The fourth proportional to 13,646.64, 20,469.89 and 11,792.12 is: 17,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.64 : 20,469.89 = 11,792.12 : x
  2. Step 2: Convert to fraction form
    13,646.64/20,469.89 = 11,792.12/x
  3. Step 3: Cross multiply
    13,646.64x = 20,469.89 × 11,792.12
  4. Step 4: Simplify right side
    13,646.64x = 241,383,237.96
  5. Step 5: Solve for x
    x = 241,383,237.96/13,646.64
  6. Step 6: Final answer
    x = 17,688.11

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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.