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Finding the Fourth Proportional to 21,104.88, 31,665.80 and 7,960.96

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Solution

The fourth proportional to 21,104.88, 31,665.80 and 7,960.96 is: 11,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.88 : 31,665.80 = 7,960.96 : x
  2. Step 2: Convert to fraction form
    21,104.88/31,665.80 = 7,960.96/x
  3. Step 3: Cross multiply
    21,104.88x = 31,665.80 × 7,960.96
  4. Step 4: Simplify right side
    21,104.88x = 252,090,167.17
  5. Step 5: Solve for x
    x = 252,090,167.17/21,104.88
  6. Step 6: Final answer
    x = 11,944.64

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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.