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Finding the Fourth Proportional to 12,696.87, 19,050.69 and 6,846.66

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Solution

The fourth proportional to 12,696.87, 19,050.69 and 6,846.66 is: 10,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.87 : 19,050.69 = 6,846.66 : x
  2. Step 2: Convert to fraction form
    12,696.87/19,050.69 = 6,846.66/x
  3. Step 3: Cross multiply
    12,696.87x = 19,050.69 × 6,846.66
  4. Step 4: Simplify right side
    12,696.87x = 130,433,597.20
  5. Step 5: Solve for x
    x = 130,433,597.20/12,696.87
  6. Step 6: Final answer
    x = 10,272.89

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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.