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Finding the Fourth Proportional to 23,884.92, 32,964.30 and 14,453.64

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Solution

The fourth proportional to 23,884.92, 32,964.30 and 14,453.64 is: 19,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.92 : 32,964.30 = 14,453.64 : x
  2. Step 2: Convert to fraction form
    23,884.92/32,964.30 = 14,453.64/x
  3. Step 3: Cross multiply
    23,884.92x = 32,964.30 × 14,453.64
  4. Step 4: Simplify right side
    23,884.92x = 476,454,125.05
  5. Step 5: Solve for x
    x = 476,454,125.05/23,884.92
  6. Step 6: Final answer
    x = 19,947.91

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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.