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Finding the Fourth Proportional to 13,683.81, 18,871.06 and 8,639.27

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Solution

The fourth proportional to 13,683.81, 18,871.06 and 8,639.27 is: 11,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.81 : 18,871.06 = 8,639.27 : x
  2. Step 2: Convert to fraction form
    13,683.81/18,871.06 = 8,639.27/x
  3. Step 3: Cross multiply
    13,683.81x = 18,871.06 × 8,639.27
  4. Step 4: Simplify right side
    13,683.81x = 163,032,044.97
  5. Step 5: Solve for x
    x = 163,032,044.97/13,683.81
  6. Step 6: Final answer
    x = 11,914.23

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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.