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Finding the Fourth Proportional to 13,163.82, 19,746 and 4,398.81

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Solution

The fourth proportional to 13,163.82, 19,746 and 4,398.81 is: 6,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.82 : 19,746 = 4,398.81 : x
  2. Step 2: Convert to fraction form
    13,163.82/19,746 = 4,398.81/x
  3. Step 3: Cross multiply
    13,163.82x = 19,746 × 4,398.81
  4. Step 4: Simplify right side
    13,163.82x = 86,858,902.26
  5. Step 5: Solve for x
    x = 86,858,902.26/13,163.82
  6. Step 6: Final answer
    x = 6,598.31

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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.