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Finding the Fourth Proportional to 13,552.84, 18,683.92 and 11,684.31

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Solution

The fourth proportional to 13,552.84, 18,683.92 and 11,684.31 is: 16,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.84 : 18,683.92 = 11,684.31 : x
  2. Step 2: Convert to fraction form
    13,552.84/18,683.92 = 11,684.31/x
  3. Step 3: Cross multiply
    13,552.84x = 18,683.92 × 11,684.31
  4. Step 4: Simplify right side
    13,552.84x = 218,308,713.30
  5. Step 5: Solve for x
    x = 218,308,713.30/13,552.84
  6. Step 6: Final answer
    x = 16,107.97

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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.