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Finding the Fourth Proportional to 13,608.98, 20,415.85 and 6,214.18

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Solution

The fourth proportional to 13,608.98, 20,415.85 and 6,214.18 is: 9,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.98 : 20,415.85 = 6,214.18 : x
  2. Step 2: Convert to fraction form
    13,608.98/20,415.85 = 6,214.18/x
  3. Step 3: Cross multiply
    13,608.98x = 20,415.85 × 6,214.18
  4. Step 4: Simplify right side
    13,608.98x = 126,867,800.04
  5. Step 5: Solve for x
    x = 126,867,800.04/13,608.98
  6. Step 6: Final answer
    x = 9,322.36

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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.