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Finding the Fourth Proportional to 27,245.90, 40,863.74 and 8,523.14

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Solution

The fourth proportional to 27,245.90, 40,863.74 and 8,523.14 is: 12,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.90 : 40,863.74 = 8,523.14 : x
  2. Step 2: Convert to fraction form
    27,245.90/40,863.74 = 8,523.14/x
  3. Step 3: Cross multiply
    27,245.90x = 40,863.74 × 8,523.14
  4. Step 4: Simplify right side
    27,245.90x = 348,287,130.01
  5. Step 5: Solve for x
    x = 348,287,130.01/27,245.90
  6. Step 6: Final answer
    x = 12,783.10

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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.