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Finding the Fourth Proportional to 27,814.77, 41,724 and 8,094.69

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Solution

The fourth proportional to 27,814.77, 41,724 and 8,094.69 is: 12,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.77 : 41,724 = 8,094.69 : x
  2. Step 2: Convert to fraction form
    27,814.77/41,724 = 8,094.69/x
  3. Step 3: Cross multiply
    27,814.77x = 41,724 × 8,094.69
  4. Step 4: Simplify right side
    27,814.77x = 337,742,845.56
  5. Step 5: Solve for x
    x = 337,742,845.56/27,814.77
  6. Step 6: Final answer
    x = 12,142.57

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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.