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Finding the Fourth Proportional to 21,114.66, 29,138 and 11,683.29

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Solution

The fourth proportional to 21,114.66, 29,138 and 11,683.29 is: 16,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.66 : 29,138 = 11,683.29 : x
  2. Step 2: Convert to fraction form
    21,114.66/29,138 = 11,683.29/x
  3. Step 3: Cross multiply
    21,114.66x = 29,138 × 11,683.29
  4. Step 4: Simplify right side
    21,114.66x = 340,427,704.02
  5. Step 5: Solve for x
    x = 340,427,704.02/21,114.66
  6. Step 6: Final answer
    x = 16,122.81

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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.