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Finding the Fourth Proportional to 13,806, 19,051.08 and 7,837.92

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Solution

The fourth proportional to 13,806, 19,051.08 and 7,837.92 is: 10,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 19,051.08 = 7,837.92 : x
  2. Step 2: Convert to fraction form
    13,806/19,051.08 = 7,837.92/x
  3. Step 3: Cross multiply
    13,806x = 19,051.08 × 7,837.92
  4. Step 4: Simplify right side
    13,806x = 149,320,840.95
  5. Step 5: Solve for x
    x = 149,320,840.95/13,806
  6. Step 6: Final answer
    x = 10,815.65

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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.