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Finding the Fourth Proportional to 24,839, 37,214.25 and 21,294.24

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Solution

The fourth proportional to 24,839, 37,214.25 and 21,294.24 is: 31,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839 : 37,214.25 = 21,294.24 : x
  2. Step 2: Convert to fraction form
    24,839/37,214.25 = 21,294.24/x
  3. Step 3: Cross multiply
    24,839x = 37,214.25 × 21,294.24
  4. Step 4: Simplify right side
    24,839x = 792,449,170.92
  5. Step 5: Solve for x
    x = 792,449,170.92/24,839
  6. Step 6: Final answer
    x = 31,903.42

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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.