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Finding the Fourth Proportional to 27,714.67, 41,570.74 and 10,183.21

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Solution

The fourth proportional to 27,714.67, 41,570.74 and 10,183.21 is: 15,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.67 : 41,570.74 = 10,183.21 : x
  2. Step 2: Convert to fraction form
    27,714.67/41,570.74 = 10,183.21/x
  3. Step 3: Cross multiply
    27,714.67x = 41,570.74 × 10,183.21
  4. Step 4: Simplify right side
    27,714.67x = 423,323,575.28
  5. Step 5: Solve for x
    x = 423,323,575.28/27,714.67
  6. Step 6: Final answer
    x = 15,274.35

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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.