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Finding the Fourth Proportional to 30,243.84, 41,738.90 and 16,819.44

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Solution

The fourth proportional to 30,243.84, 41,738.90 and 16,819.44 is: 23,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243.84 : 41,738.90 = 16,819.44 : x
  2. Step 2: Convert to fraction form
    30,243.84/41,738.90 = 16,819.44/x
  3. Step 3: Cross multiply
    30,243.84x = 41,738.90 × 16,819.44
  4. Step 4: Simplify right side
    30,243.84x = 702,024,924.22
  5. Step 5: Solve for x
    x = 702,024,924.22/30,243.84
  6. Step 6: Final answer
    x = 23,212.16

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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.