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Finding the Fourth Proportional to 23,815, 35,723.31 and 9,583.30

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Solution

The fourth proportional to 23,815, 35,723.31 and 9,583.30 is: 14,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815 : 35,723.31 = 9,583.30 : x
  2. Step 2: Convert to fraction form
    23,815/35,723.31 = 9,583.30/x
  3. Step 3: Cross multiply
    23,815x = 35,723.31 × 9,583.30
  4. Step 4: Simplify right side
    23,815x = 342,347,196.72
  5. Step 5: Solve for x
    x = 342,347,196.72/23,815
  6. Step 6: Final answer
    x = 14,375.28

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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.