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Finding the Fourth Proportional to 13,243.88, 18,285.12 and 8,213.46

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Solution

The fourth proportional to 13,243.88, 18,285.12 and 8,213.46 is: 11,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.88 : 18,285.12 = 8,213.46 : x
  2. Step 2: Convert to fraction form
    13,243.88/18,285.12 = 8,213.46/x
  3. Step 3: Cross multiply
    13,243.88x = 18,285.12 × 8,213.46
  4. Step 4: Simplify right side
    13,243.88x = 150,184,101.72
  5. Step 5: Solve for x
    x = 150,184,101.72/13,243.88
  6. Step 6: Final answer
    x = 11,339.89

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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.