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Finding the Fourth Proportional to 27,821.49, 41,734.83 and 9,101.64

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Solution

The fourth proportional to 27,821.49, 41,734.83 and 9,101.64 is: 13,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.49 : 41,734.83 = 9,101.64 : x
  2. Step 2: Convert to fraction form
    27,821.49/41,734.83 = 9,101.64/x
  3. Step 3: Cross multiply
    27,821.49x = 41,734.83 × 9,101.64
  4. Step 4: Simplify right side
    27,821.49x = 379,855,398.12
  5. Step 5: Solve for x
    x = 379,855,398.12/27,821.49
  6. Step 6: Final answer
    x = 13,653.31

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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.