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Finding the Fourth Proportional to 13,832.93, 19,083.85 and 7,863.33

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Solution

The fourth proportional to 13,832.93, 19,083.85 and 7,863.33 is: 10,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.93 : 19,083.85 = 7,863.33 : x
  2. Step 2: Convert to fraction form
    13,832.93/19,083.85 = 7,863.33/x
  3. Step 3: Cross multiply
    13,832.93x = 19,083.85 × 7,863.33
  4. Step 4: Simplify right side
    13,832.93x = 150,062,599.01
  5. Step 5: Solve for x
    x = 150,062,599.01/13,832.93
  6. Step 6: Final answer
    x = 10,848.22

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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.