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Finding the Fourth Proportional to 15,902.26, 23,857.23 and 5,513.78

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Solution

The fourth proportional to 15,902.26, 23,857.23 and 5,513.78 is: 8,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.26 : 23,857.23 = 5,513.78 : x
  2. Step 2: Convert to fraction form
    15,902.26/23,857.23 = 5,513.78/x
  3. Step 3: Cross multiply
    15,902.26x = 23,857.23 × 5,513.78
  4. Step 4: Simplify right side
    15,902.26x = 131,543,517.63
  5. Step 5: Solve for x
    x = 131,543,517.63/15,902.26
  6. Step 6: Final answer
    x = 8,272.00

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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.