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Finding the Fourth Proportional to 27,241.46, 40,841.42 and 14,085.44

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Solution

The fourth proportional to 27,241.46, 40,841.42 and 14,085.44 is: 21,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.46 : 40,841.42 = 14,085.44 : x
  2. Step 2: Convert to fraction form
    27,241.46/40,841.42 = 14,085.44/x
  3. Step 3: Cross multiply
    27,241.46x = 40,841.42 × 14,085.44
  4. Step 4: Simplify right side
    27,241.46x = 575,269,370.92
  5. Step 5: Solve for x
    x = 575,269,370.92/27,241.46
  6. Step 6: Final answer
    x = 21,117.42

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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.