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Finding the Fourth Proportional to 13,505.62, 20,191.86 and 11,448.64

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Solution

The fourth proportional to 13,505.62, 20,191.86 and 11,448.64 is: 17,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.62 : 20,191.86 = 11,448.64 : x
  2. Step 2: Convert to fraction form
    13,505.62/20,191.86 = 11,448.64/x
  3. Step 3: Cross multiply
    13,505.62x = 20,191.86 × 11,448.64
  4. Step 4: Simplify right side
    13,505.62x = 231,169,336.07
  5. Step 5: Solve for x
    x = 231,169,336.07/13,505.62
  6. Step 6: Final answer
    x = 17,116.53

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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.