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Finding the Fourth Proportional to 12,838.86, 19,245.69 and 6,601.86

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Solution

The fourth proportional to 12,838.86, 19,245.69 and 6,601.86 is: 9,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.86 : 19,245.69 = 6,601.86 : x
  2. Step 2: Convert to fraction form
    12,838.86/19,245.69 = 6,601.86/x
  3. Step 3: Cross multiply
    12,838.86x = 19,245.69 × 6,601.86
  4. Step 4: Simplify right side
    12,838.86x = 127,057,350.98
  5. Step 5: Solve for x
    x = 127,057,350.98/12,838.86
  6. Step 6: Final answer
    x = 9,896.31

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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.