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Finding the Fourth Proportional to 27,841.16, 41,763.70 and 11,201.26

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Solution

The fourth proportional to 27,841.16, 41,763.70 and 11,201.26 is: 16,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.16 : 41,763.70 = 11,201.26 : x
  2. Step 2: Convert to fraction form
    27,841.16/41,763.70 = 11,201.26/x
  3. Step 3: Cross multiply
    27,841.16x = 41,763.70 × 11,201.26
  4. Step 4: Simplify right side
    27,841.16x = 467,806,062.26
  5. Step 5: Solve for x
    x = 467,806,062.26/27,841.16
  6. Step 6: Final answer
    x = 16,802.68

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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.