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Finding the Fourth Proportional to 13,449.36, 20,174 and 3,588.68

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Solution

The fourth proportional to 13,449.36, 20,174 and 3,588.68 is: 5,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.36 : 20,174 = 3,588.68 : x
  2. Step 2: Convert to fraction form
    13,449.36/20,174 = 3,588.68/x
  3. Step 3: Cross multiply
    13,449.36x = 20,174 × 3,588.68
  4. Step 4: Simplify right side
    13,449.36x = 72,398,030.32
  5. Step 5: Solve for x
    x = 72,398,030.32/13,449.36
  6. Step 6: Final answer
    x = 5,383.01

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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.