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Finding the Fourth Proportional to 13,771.50, 18,996 and 10,983.66

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Solution

The fourth proportional to 13,771.50, 18,996 and 10,983.66 is: 15,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.50 : 18,996 = 10,983.66 : x
  2. Step 2: Convert to fraction form
    13,771.50/18,996 = 10,983.66/x
  3. Step 3: Cross multiply
    13,771.50x = 18,996 × 10,983.66
  4. Step 4: Simplify right side
    13,771.50x = 208,645,605.36
  5. Step 5: Solve for x
    x = 208,645,605.36/13,771.50
  6. Step 6: Final answer
    x = 15,150.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.