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Finding the Fourth Proportional to 30,257.18, 41,754.31 and 16,828.14

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Solution

The fourth proportional to 30,257.18, 41,754.31 and 16,828.14 is: 23,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.18 : 41,754.31 = 16,828.14 : x
  2. Step 2: Convert to fraction form
    30,257.18/41,754.31 = 16,828.14/x
  3. Step 3: Cross multiply
    30,257.18x = 41,754.31 × 16,828.14
  4. Step 4: Simplify right side
    30,257.18x = 702,647,488.79
  5. Step 5: Solve for x
    x = 702,647,488.79/30,257.18
  6. Step 6: Final answer
    x = 23,222.51

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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.