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Finding the Fourth Proportional to 13,394.80, 20,090.22 and 3,534.77

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Solution

The fourth proportional to 13,394.80, 20,090.22 and 3,534.77 is: 5,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.80 : 20,090.22 = 3,534.77 : x
  2. Step 2: Convert to fraction form
    13,394.80/20,090.22 = 3,534.77/x
  3. Step 3: Cross multiply
    13,394.80x = 20,090.22 × 3,534.77
  4. Step 4: Simplify right side
    13,394.80x = 71,014,240.85
  5. Step 5: Solve for x
    x = 71,014,240.85/13,394.80
  6. Step 6: Final answer
    x = 5,301.63

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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.