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Finding the Fourth Proportional to 14,093.73, 19,449.30 and 7,806.09

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Solution

The fourth proportional to 14,093.73, 19,449.30 and 7,806.09 is: 10,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.73 : 19,449.30 = 7,806.09 : x
  2. Step 2: Convert to fraction form
    14,093.73/19,449.30 = 7,806.09/x
  3. Step 3: Cross multiply
    14,093.73x = 19,449.30 × 7,806.09
  4. Step 4: Simplify right side
    14,093.73x = 151,822,986.24
  5. Step 5: Solve for x
    x = 151,822,986.24/14,093.73
  6. Step 6: Final answer
    x = 10,772.38

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Why These Related Problems?

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