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Finding the Fourth Proportional to 13,735.17, 20,602.80 and 3,346.83

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Solution

The fourth proportional to 13,735.17, 20,602.80 and 3,346.83 is: 5,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.17 : 20,602.80 = 3,346.83 : x
  2. Step 2: Convert to fraction form
    13,735.17/20,602.80 = 3,346.83/x
  3. Step 3: Cross multiply
    13,735.17x = 20,602.80 × 3,346.83
  4. Step 4: Simplify right side
    13,735.17x = 68,954,069.12
  5. Step 5: Solve for x
    x = 68,954,069.12/13,735.17
  6. Step 6: Final answer
    x = 5,020.26

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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.