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Finding the Fourth Proportional to 23,257.95, 32,096.28 and 12,647.58

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Solution

The fourth proportional to 23,257.95, 32,096.28 and 12,647.58 is: 17,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.95 : 32,096.28 = 12,647.58 : x
  2. Step 2: Convert to fraction form
    23,257.95/32,096.28 = 12,647.58/x
  3. Step 3: Cross multiply
    23,257.95x = 32,096.28 × 12,647.58
  4. Step 4: Simplify right side
    23,257.95x = 405,940,269.00
  5. Step 5: Solve for x
    x = 405,940,269.00/23,257.95
  6. Step 6: Final answer
    x = 17,453.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.