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Finding the Fourth Proportional to 16,254.26, 24,381.40 and 3,942.26

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Solution

The fourth proportional to 16,254.26, 24,381.40 and 3,942.26 is: 5,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.26 : 24,381.40 = 3,942.26 : x
  2. Step 2: Convert to fraction form
    16,254.26/24,381.40 = 3,942.26/x
  3. Step 3: Cross multiply
    16,254.26x = 24,381.40 × 3,942.26
  4. Step 4: Simplify right side
    16,254.26x = 96,117,817.96
  5. Step 5: Solve for x
    x = 96,117,817.96/16,254.26
  6. Step 6: Final answer
    x = 5,913.39

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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.