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Finding the Fourth Proportional to 13,684.01, 20,512.04 and 6,293.84

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Solution

The fourth proportional to 13,684.01, 20,512.04 and 6,293.84 is: 9,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.01 : 20,512.04 = 6,293.84 : x
  2. Step 2: Convert to fraction form
    13,684.01/20,512.04 = 6,293.84/x
  3. Step 3: Cross multiply
    13,684.01x = 20,512.04 × 6,293.84
  4. Step 4: Simplify right side
    13,684.01x = 129,099,363.80
  5. Step 5: Solve for x
    x = 129,099,363.80/13,684.01
  6. Step 6: Final answer
    x = 9,434.33

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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.