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Finding the Fourth Proportional to 16,294.26, 24,441.38 and 5,906

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Solution

The fourth proportional to 16,294.26, 24,441.38 and 5,906 is: 8,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.26 : 24,441.38 = 5,906 : x
  2. Step 2: Convert to fraction form
    16,294.26/24,441.38 = 5,906/x
  3. Step 3: Cross multiply
    16,294.26x = 24,441.38 × 5,906
  4. Step 4: Simplify right side
    16,294.26x = 144,350,790.28
  5. Step 5: Solve for x
    x = 144,350,790.28/16,294.26
  6. Step 6: Final answer
    x = 8,859.00

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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.