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Finding the Fourth Proportional to 19,643.67, 29,448.09 and 7,161.39

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Solution

The fourth proportional to 19,643.67, 29,448.09 and 7,161.39 is: 10,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.67 : 29,448.09 = 7,161.39 : x
  2. Step 2: Convert to fraction form
    19,643.67/29,448.09 = 7,161.39/x
  3. Step 3: Cross multiply
    19,643.67x = 29,448.09 × 7,161.39
  4. Step 4: Simplify right side
    19,643.67x = 210,889,257.25
  5. Step 5: Solve for x
    x = 210,889,257.25/19,643.67
  6. Step 6: Final answer
    x = 10,735.74

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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.