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Finding the Fourth Proportional to 23,896.74, 35,846.50 and 7,257.30

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Solution

The fourth proportional to 23,896.74, 35,846.50 and 7,257.30 is: 10,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.74 : 35,846.50 = 7,257.30 : x
  2. Step 2: Convert to fraction form
    23,896.74/35,846.50 = 7,257.30/x
  3. Step 3: Cross multiply
    23,896.74x = 35,846.50 × 7,257.30
  4. Step 4: Simplify right side
    23,896.74x = 260,148,804.45
  5. Step 5: Solve for x
    x = 260,148,804.45/23,896.74
  6. Step 6: Final answer
    x = 10,886.37

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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.