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Finding the Fourth Proportional to 12,145.69, 16,761.23 and 6,767.98

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Solution

The fourth proportional to 12,145.69, 16,761.23 and 6,767.98 is: 9,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.69 : 16,761.23 = 6,767.98 : x
  2. Step 2: Convert to fraction form
    12,145.69/16,761.23 = 6,767.98/x
  3. Step 3: Cross multiply
    12,145.69x = 16,761.23 × 6,767.98
  4. Step 4: Simplify right side
    12,145.69x = 113,439,619.05
  5. Step 5: Solve for x
    x = 113,439,619.05/12,145.69
  6. Step 6: Final answer
    x = 9,339.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.