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Finding the Fourth Proportional to 23,362.25, 35,057.96 and 9,511.25

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Solution

The fourth proportional to 23,362.25, 35,057.96 and 9,511.25 is: 14,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362.25 : 35,057.96 = 9,511.25 : x
  2. Step 2: Convert to fraction form
    23,362.25/35,057.96 = 9,511.25/x
  3. Step 3: Cross multiply
    23,362.25x = 35,057.96 × 9,511.25
  4. Step 4: Simplify right side
    23,362.25x = 333,444,974.49
  5. Step 5: Solve for x
    x = 333,444,974.49/23,362.25
  6. Step 6: Final answer
    x = 14,272.81

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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.