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Finding the Fourth Proportional to 13,212.96, 18,229.34 and 7,834.30

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Solution

The fourth proportional to 13,212.96, 18,229.34 and 7,834.30 is: 10,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.96 : 18,229.34 = 7,834.30 : x
  2. Step 2: Convert to fraction form
    13,212.96/18,229.34 = 7,834.30/x
  3. Step 3: Cross multiply
    13,212.96x = 18,229.34 × 7,834.30
  4. Step 4: Simplify right side
    13,212.96x = 142,814,118.36
  5. Step 5: Solve for x
    x = 142,814,118.36/13,212.96
  6. Step 6: Final answer
    x = 10,808.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.