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Finding the Fourth Proportional to 12,961.67, 19,424.27 and 7,406.69

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Solution

The fourth proportional to 12,961.67, 19,424.27 and 7,406.69 is: 11,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.67 : 19,424.27 = 7,406.69 : x
  2. Step 2: Convert to fraction form
    12,961.67/19,424.27 = 7,406.69/x
  3. Step 3: Cross multiply
    12,961.67x = 19,424.27 × 7,406.69
  4. Step 4: Simplify right side
    12,961.67x = 143,869,467.76
  5. Step 5: Solve for x
    x = 143,869,467.76/12,961.67
  6. Step 6: Final answer
    x = 11,099.61

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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.