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Finding the Fourth Proportional to 13,735.40, 20,605.16 and 4,972.37

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Solution

The fourth proportional to 13,735.40, 20,605.16 and 4,972.37 is: 7,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.40 : 20,605.16 = 4,972.37 : x
  2. Step 2: Convert to fraction form
    13,735.40/20,605.16 = 4,972.37/x
  3. Step 3: Cross multiply
    13,735.40x = 20,605.16 × 4,972.37
  4. Step 4: Simplify right side
    13,735.40x = 102,456,351.54
  5. Step 5: Solve for x
    x = 102,456,351.54/13,735.40
  6. Step 6: Final answer
    x = 7,459.29

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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.