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Finding the Fourth Proportional to 27,814.98, 41,722.04 and 6,755.18

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Solution

The fourth proportional to 27,814.98, 41,722.04 and 6,755.18 is: 10,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.98 : 41,722.04 = 6,755.18 : x
  2. Step 2: Convert to fraction form
    27,814.98/41,722.04 = 6,755.18/x
  3. Step 3: Cross multiply
    27,814.98x = 41,722.04 × 6,755.18
  4. Step 4: Simplify right side
    27,814.98x = 281,840,011.36
  5. Step 5: Solve for x
    x = 281,840,011.36/27,814.98
  6. Step 6: Final answer
    x = 10,132.67

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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.