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Finding the Fourth Proportional to 14,683.52, 20,263.05 and 7,969.16

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Solution

The fourth proportional to 14,683.52, 20,263.05 and 7,969.16 is: 10,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.52 : 20,263.05 = 7,969.16 : x
  2. Step 2: Convert to fraction form
    14,683.52/20,263.05 = 7,969.16/x
  3. Step 3: Cross multiply
    14,683.52x = 20,263.05 × 7,969.16
  4. Step 4: Simplify right side
    14,683.52x = 161,479,487.54
  5. Step 5: Solve for x
    x = 161,479,487.54/14,683.52
  6. Step 6: Final answer
    x = 10,997.33

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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.