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Finding the Fourth Proportional to 13,229.44, 19,837.14 and 5,825.32

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Solution

The fourth proportional to 13,229.44, 19,837.14 and 5,825.32 is: 8,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.44 : 19,837.14 = 5,825.32 : x
  2. Step 2: Convert to fraction form
    13,229.44/19,837.14 = 5,825.32/x
  3. Step 3: Cross multiply
    13,229.44x = 19,837.14 × 5,825.32
  4. Step 4: Simplify right side
    13,229.44x = 115,557,688.38
  5. Step 5: Solve for x
    x = 115,557,688.38/13,229.44
  6. Step 6: Final answer
    x = 8,734.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.