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Finding the Fourth Proportional to 21,296.27, 31,924.06 and 7,965.65

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Solution

The fourth proportional to 21,296.27, 31,924.06 and 7,965.65 is: 11,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.27 : 31,924.06 = 7,965.65 : x
  2. Step 2: Convert to fraction form
    21,296.27/31,924.06 = 7,965.65/x
  3. Step 3: Cross multiply
    21,296.27x = 31,924.06 × 7,965.65
  4. Step 4: Simplify right side
    21,296.27x = 254,295,799.71
  5. Step 5: Solve for x
    x = 254,295,799.71/21,296.27
  6. Step 6: Final answer
    x = 11,940.86

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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.