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Finding the Fourth Proportional to 27,841.44, 41,762.16 and 6,781.35

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Solution

The fourth proportional to 27,841.44, 41,762.16 and 6,781.35 is: 10,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.44 : 41,762.16 = 6,781.35 : x
  2. Step 2: Convert to fraction form
    27,841.44/41,762.16 = 6,781.35/x
  3. Step 3: Cross multiply
    27,841.44x = 41,762.16 × 6,781.35
  4. Step 4: Simplify right side
    27,841.44x = 283,203,823.72
  5. Step 5: Solve for x
    x = 283,203,823.72/27,841.44
  6. Step 6: Final answer
    x = 10,172.03

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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.