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Finding the Fourth Proportional to 23,212.22, 31,996.53 and 19,428.71

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Solution

The fourth proportional to 23,212.22, 31,996.53 and 19,428.71 is: 26,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.22 : 31,996.53 = 19,428.71 : x
  2. Step 2: Convert to fraction form
    23,212.22/31,996.53 = 19,428.71/x
  3. Step 3: Cross multiply
    23,212.22x = 31,996.53 × 19,428.71
  4. Step 4: Simplify right side
    23,212.22x = 621,651,142.39
  5. Step 5: Solve for x
    x = 621,651,142.39/23,212.22
  6. Step 6: Final answer
    x = 26,781.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.