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Finding the Fourth Proportional to 13,982.49, 20,973.73 and 5,098.49

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Solution

The fourth proportional to 13,982.49, 20,973.73 and 5,098.49 is: 7,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.49 : 20,973.73 = 5,098.49 : x
  2. Step 2: Convert to fraction form
    13,982.49/20,973.73 = 5,098.49/x
  3. Step 3: Cross multiply
    13,982.49x = 20,973.73 × 5,098.49
  4. Step 4: Simplify right side
    13,982.49x = 106,934,352.67
  5. Step 5: Solve for x
    x = 106,934,352.67/13,982.49
  6. Step 6: Final answer
    x = 7,647.73

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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.