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Finding the Fourth Proportional to 14,282.88, 21,410.40 and 5,965.27

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Solution

The fourth proportional to 14,282.88, 21,410.40 and 5,965.27 is: 8,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.88 : 21,410.40 = 5,965.27 : x
  2. Step 2: Convert to fraction form
    14,282.88/21,410.40 = 5,965.27/x
  3. Step 3: Cross multiply
    14,282.88x = 21,410.40 × 5,965.27
  4. Step 4: Simplify right side
    14,282.88x = 127,718,785.65
  5. Step 5: Solve for x
    x = 127,718,785.65/14,282.88
  6. Step 6: Final answer
    x = 8,942.09

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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.