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Finding the Fourth Proportional to 17,273, 23,836.74 and 9,821

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Solution

The fourth proportional to 17,273, 23,836.74 and 9,821 is: 13,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273 : 23,836.74 = 9,821 : x
  2. Step 2: Convert to fraction form
    17,273/23,836.74 = 9,821/x
  3. Step 3: Cross multiply
    17,273x = 23,836.74 × 9,821
  4. Step 4: Simplify right side
    17,273x = 234,100,623.54
  5. Step 5: Solve for x
    x = 234,100,623.54/17,273
  6. Step 6: Final answer
    x = 13,552.98

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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.