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Finding the Fourth Proportional to 27,212.75, 40,806.81 and 9,683.04

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Solution

The fourth proportional to 27,212.75, 40,806.81 and 9,683.04 is: 14,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.75 : 40,806.81 = 9,683.04 : x
  2. Step 2: Convert to fraction form
    27,212.75/40,806.81 = 9,683.04/x
  3. Step 3: Cross multiply
    27,212.75x = 40,806.81 × 9,683.04
  4. Step 4: Simplify right side
    27,212.75x = 395,133,973.50
  5. Step 5: Solve for x
    x = 395,133,973.50/27,212.75
  6. Step 6: Final answer
    x = 14,520.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.