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Finding the Fourth Proportional to 13,600.96, 18,772.32 and 8,632

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Solution

The fourth proportional to 13,600.96, 18,772.32 and 8,632 is: 11,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.96 : 18,772.32 = 8,632 : x
  2. Step 2: Convert to fraction form
    13,600.96/18,772.32 = 8,632/x
  3. Step 3: Cross multiply
    13,600.96x = 18,772.32 × 8,632
  4. Step 4: Simplify right side
    13,600.96x = 162,042,666.24
  5. Step 5: Solve for x
    x = 162,042,666.24/13,600.96
  6. Step 6: Final answer
    x = 11,914.06

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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.