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Finding the Fourth Proportional to 18,206.97, 27,314.10 and 6,518.67

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Solution

The fourth proportional to 18,206.97, 27,314.10 and 6,518.67 is: 9,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.97 : 27,314.10 = 6,518.67 : x
  2. Step 2: Convert to fraction form
    18,206.97/27,314.10 = 6,518.67/x
  3. Step 3: Cross multiply
    18,206.97x = 27,314.10 × 6,518.67
  4. Step 4: Simplify right side
    18,206.97x = 178,051,604.25
  5. Step 5: Solve for x
    x = 178,051,604.25/18,206.97
  6. Step 6: Final answer
    x = 9,779.31

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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.