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Finding the Fourth Proportional to 14,683.31, 20,263.11 and 7,969.00

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Solution

The fourth proportional to 14,683.31, 20,263.11 and 7,969.00 is: 10,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.31 : 20,263.11 = 7,969.00 : x
  2. Step 2: Convert to fraction form
    14,683.31/20,263.11 = 7,969.00/x
  3. Step 3: Cross multiply
    14,683.31x = 20,263.11 × 7,969.00
  4. Step 4: Simplify right side
    14,683.31x = 161,476,725.87
  5. Step 5: Solve for x
    x = 161,476,725.87/14,683.31
  6. Step 6: Final answer
    x = 10,997.30

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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.