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Finding the Fourth Proportional to 21,114.26, 29,138.10 and 11,683.16

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Solution

The fourth proportional to 21,114.26, 29,138.10 and 11,683.16 is: 16,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.26 : 29,138.10 = 11,683.16 : x
  2. Step 2: Convert to fraction form
    21,114.26/29,138.10 = 11,683.16/x
  3. Step 3: Cross multiply
    21,114.26x = 29,138.10 × 11,683.16
  4. Step 4: Simplify right side
    21,114.26x = 340,425,084.40
  5. Step 5: Solve for x
    x = 340,425,084.40/21,114.26
  6. Step 6: Final answer
    x = 16,122.99

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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.