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Finding the Fourth Proportional to 21,109.68, 31,672.89 and 7,965.54

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Solution

The fourth proportional to 21,109.68, 31,672.89 and 7,965.54 is: 11,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.68 : 31,672.89 = 7,965.54 : x
  2. Step 2: Convert to fraction form
    21,109.68/31,672.89 = 7,965.54/x
  3. Step 3: Cross multiply
    21,109.68x = 31,672.89 × 7,965.54
  4. Step 4: Simplify right side
    21,109.68x = 252,291,672.21
  5. Step 5: Solve for x
    x = 252,291,672.21/21,109.68
  6. Step 6: Final answer
    x = 11,951.47

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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.