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Finding the Fourth Proportional to 12,847.26, 19,252.78 and 6,085.67

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Solution

The fourth proportional to 12,847.26, 19,252.78 and 6,085.67 is: 9,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.26 : 19,252.78 = 6,085.67 : x
  2. Step 2: Convert to fraction form
    12,847.26/19,252.78 = 6,085.67/x
  3. Step 3: Cross multiply
    12,847.26x = 19,252.78 × 6,085.67
  4. Step 4: Simplify right side
    12,847.26x = 117,166,065.66
  5. Step 5: Solve for x
    x = 117,166,065.66/12,847.26
  6. Step 6: Final answer
    x = 9,119.93

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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.