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Finding the Fourth Proportional to 13,770.29, 18,996.17 and 8,390.27

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Solution

The fourth proportional to 13,770.29, 18,996.17 and 8,390.27 is: 11,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.29 : 18,996.17 = 8,390.27 : x
  2. Step 2: Convert to fraction form
    13,770.29/18,996.17 = 8,390.27/x
  3. Step 3: Cross multiply
    13,770.29x = 18,996.17 × 8,390.27
  4. Step 4: Simplify right side
    13,770.29x = 159,382,858.33
  5. Step 5: Solve for x
    x = 159,382,858.33/13,770.29
  6. Step 6: Final answer
    x = 11,574.41

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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.