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Finding the Fourth Proportional to 12,961.49, 19,478.80 and 7,697.41

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Solution

The fourth proportional to 12,961.49, 19,478.80 and 7,697.41 is: 11,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.49 : 19,478.80 = 7,697.41 : x
  2. Step 2: Convert to fraction form
    12,961.49/19,478.80 = 7,697.41/x
  3. Step 3: Cross multiply
    12,961.49x = 19,478.80 × 7,697.41
  4. Step 4: Simplify right side
    12,961.49x = 149,936,309.91
  5. Step 5: Solve for x
    x = 149,936,309.91/12,961.49
  6. Step 6: Final answer
    x = 11,567.83

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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.