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Finding the Fourth Proportional to 13,857.69, 19,121.40 and 7,889.49

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Solution

The fourth proportional to 13,857.69, 19,121.40 and 7,889.49 is: 10,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.69 : 19,121.40 = 7,889.49 : x
  2. Step 2: Convert to fraction form
    13,857.69/19,121.40 = 7,889.49/x
  3. Step 3: Cross multiply
    13,857.69x = 19,121.40 × 7,889.49
  4. Step 4: Simplify right side
    13,857.69x = 150,858,094.09
  5. Step 5: Solve for x
    x = 150,858,094.09/13,857.69
  6. Step 6: Final answer
    x = 10,886.24

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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.