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Finding the Fourth Proportional to 21,930.94, 30,257.49 and 13,424.19

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Solution

The fourth proportional to 21,930.94, 30,257.49 and 13,424.19 is: 18,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.94 : 30,257.49 = 13,424.19 : x
  2. Step 2: Convert to fraction form
    21,930.94/30,257.49 = 13,424.19/x
  3. Step 3: Cross multiply
    21,930.94x = 30,257.49 × 13,424.19
  4. Step 4: Simplify right side
    21,930.94x = 406,182,294.68
  5. Step 5: Solve for x
    x = 406,182,294.68/21,930.94
  6. Step 6: Final answer
    x = 18,520.97

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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.