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Finding the Fourth Proportional to 21,143.93, 31,716.41 and 7,104.44

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Solution

The fourth proportional to 21,143.93, 31,716.41 and 7,104.44 is: 10,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.93 : 31,716.41 = 7,104.44 : x
  2. Step 2: Convert to fraction form
    21,143.93/31,716.41 = 7,104.44/x
  3. Step 3: Cross multiply
    21,143.93x = 31,716.41 × 7,104.44
  4. Step 4: Simplify right side
    21,143.93x = 225,327,375.63
  5. Step 5: Solve for x
    x = 225,327,375.63/21,143.93
  6. Step 6: Final answer
    x = 10,656.84

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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.