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Finding the Fourth Proportional to 13,592.24, 18,757.48 and 8,213.94

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Solution

The fourth proportional to 13,592.24, 18,757.48 and 8,213.94 is: 11,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.24 : 18,757.48 = 8,213.94 : x
  2. Step 2: Convert to fraction form
    13,592.24/18,757.48 = 8,213.94/x
  3. Step 3: Cross multiply
    13,592.24x = 18,757.48 × 8,213.94
  4. Step 4: Simplify right side
    13,592.24x = 154,072,815.27
  5. Step 5: Solve for x
    x = 154,072,815.27/13,592.24
  6. Step 6: Final answer
    x = 11,335.35

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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.