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Finding the Fourth Proportional to 21,735.69, 32,310.44 and 21,097.14

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Solution

The fourth proportional to 21,735.69, 32,310.44 and 21,097.14 is: 31,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.69 : 32,310.44 = 21,097.14 : x
  2. Step 2: Convert to fraction form
    21,735.69/32,310.44 = 21,097.14/x
  3. Step 3: Cross multiply
    21,735.69x = 32,310.44 × 21,097.14
  4. Step 4: Simplify right side
    21,735.69x = 681,657,770.66
  5. Step 5: Solve for x
    x = 681,657,770.66/21,735.69
  6. Step 6: Final answer
    x = 31,361.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.