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Finding the Fourth Proportional to 23,696.86, 35,533.36 and 7,896.29

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Solution

The fourth proportional to 23,696.86, 35,533.36 and 7,896.29 is: 11,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.86 : 35,533.36 = 7,896.29 : x
  2. Step 2: Convert to fraction form
    23,696.86/35,533.36 = 7,896.29/x
  3. Step 3: Cross multiply
    23,696.86x = 35,533.36 × 7,896.29
  4. Step 4: Simplify right side
    23,696.86x = 280,581,715.23
  5. Step 5: Solve for x
    x = 280,581,715.23/23,696.86
  6. Step 6: Final answer
    x = 11,840.46

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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.