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Finding the Fourth Proportional to 23,896.60, 32,977.86 and 13,286

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Solution

The fourth proportional to 23,896.60, 32,977.86 and 13,286 is: 18,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.60 : 32,977.86 = 13,286 : x
  2. Step 2: Convert to fraction form
    23,896.60/32,977.86 = 13,286/x
  3. Step 3: Cross multiply
    23,896.60x = 32,977.86 × 13,286
  4. Step 4: Simplify right side
    23,896.60x = 438,143,847.96
  5. Step 5: Solve for x
    x = 438,143,847.96/23,896.60
  6. Step 6: Final answer
    x = 18,334.99

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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.