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Finding the Fourth Proportional to 23,896.29, 32,977.04 and 13,286.01

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Solution

The fourth proportional to 23,896.29, 32,977.04 and 13,286.01 is: 18,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.29 : 32,977.04 = 13,286.01 : x
  2. Step 2: Convert to fraction form
    23,896.29/32,977.04 = 13,286.01/x
  3. Step 3: Cross multiply
    23,896.29x = 32,977.04 × 13,286.01
  4. Step 4: Simplify right side
    23,896.29x = 438,133,216.78
  5. Step 5: Solve for x
    x = 438,133,216.78/23,896.29
  6. Step 6: Final answer
    x = 18,334.78

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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.