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Finding the Fourth Proportional to 13,806.82, 19,053.23 and 7,838.44

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Solution

The fourth proportional to 13,806.82, 19,053.23 and 7,838.44 is: 10,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.82 : 19,053.23 = 7,838.44 : x
  2. Step 2: Convert to fraction form
    13,806.82/19,053.23 = 7,838.44/x
  3. Step 3: Cross multiply
    13,806.82x = 19,053.23 × 7,838.44
  4. Step 4: Simplify right side
    13,806.82x = 149,347,513.34
  5. Step 5: Solve for x
    x = 149,347,513.34/13,806.82
  6. Step 6: Final answer
    x = 10,816.94

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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.