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Finding the Fourth Proportional to 27,174.41, 40,756.43 and 8,454.68

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Solution

The fourth proportional to 27,174.41, 40,756.43 and 8,454.68 is: 12,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.41 : 40,756.43 = 8,454.68 : x
  2. Step 2: Convert to fraction form
    27,174.41/40,756.43 = 8,454.68/x
  3. Step 3: Cross multiply
    27,174.41x = 40,756.43 × 8,454.68
  4. Step 4: Simplify right side
    27,174.41x = 344,582,327.54
  5. Step 5: Solve for x
    x = 344,582,327.54/27,174.41
  6. Step 6: Final answer
    x = 12,680.40

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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.