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Finding the Fourth Proportional to 13,830.60, 20,715.42 and 11,431.44

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Solution

The fourth proportional to 13,830.60, 20,715.42 and 11,431.44 is: 17,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.60 : 20,715.42 = 11,431.44 : x
  2. Step 2: Convert to fraction form
    13,830.60/20,715.42 = 11,431.44/x
  3. Step 3: Cross multiply
    13,830.60x = 20,715.42 × 11,431.44
  4. Step 4: Simplify right side
    13,830.60x = 236,807,080.80
  5. Step 5: Solve for x
    x = 236,807,080.80/13,830.60
  6. Step 6: Final answer
    x = 17,121.97

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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.