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Finding the Fourth Proportional to 13,431.66, 20,131.82 and 9,868.62

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Solution

The fourth proportional to 13,431.66, 20,131.82 and 9,868.62 is: 14,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.66 : 20,131.82 = 9,868.62 : x
  2. Step 2: Convert to fraction form
    13,431.66/20,131.82 = 9,868.62/x
  3. Step 3: Cross multiply
    13,431.66x = 20,131.82 × 9,868.62
  4. Step 4: Simplify right side
    13,431.66x = 198,673,232.15
  5. Step 5: Solve for x
    x = 198,673,232.15/13,431.66
  6. Step 6: Final answer
    x = 14,791.41

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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.