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Finding the Fourth Proportional to 13,806.36, 19,053.09 and 7,837.47

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Solution

The fourth proportional to 13,806.36, 19,053.09 and 7,837.47 is: 10,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.36 : 19,053.09 = 7,837.47 : x
  2. Step 2: Convert to fraction form
    13,806.36/19,053.09 = 7,837.47/x
  3. Step 3: Cross multiply
    13,806.36x = 19,053.09 × 7,837.47
  4. Step 4: Simplify right side
    13,806.36x = 149,328,021.28
  5. Step 5: Solve for x
    x = 149,328,021.28/13,806.36
  6. Step 6: Final answer
    x = 10,815.89

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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.