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Finding the Fourth Proportional to 13,697.22, 18,902.84 and 8,392.33

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Solution

The fourth proportional to 13,697.22, 18,902.84 and 8,392.33 is: 11,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.22 : 18,902.84 = 8,392.33 : x
  2. Step 2: Convert to fraction form
    13,697.22/18,902.84 = 8,392.33/x
  3. Step 3: Cross multiply
    13,697.22x = 18,902.84 × 8,392.33
  4. Step 4: Simplify right side
    13,697.22x = 158,638,871.22
  5. Step 5: Solve for x
    x = 158,638,871.22/13,697.22
  6. Step 6: Final answer
    x = 11,581.83

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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.