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Finding the Fourth Proportional to 12,776.46, 19,163.07 and 9,494.34

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Solution

The fourth proportional to 12,776.46, 19,163.07 and 9,494.34 is: 14,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.46 : 19,163.07 = 9,494.34 : x
  2. Step 2: Convert to fraction form
    12,776.46/19,163.07 = 9,494.34/x
  3. Step 3: Cross multiply
    12,776.46x = 19,163.07 × 9,494.34
  4. Step 4: Simplify right side
    12,776.46x = 181,940,702.02
  5. Step 5: Solve for x
    x = 181,940,702.02/12,776.46
  6. Step 6: Final answer
    x = 14,240.31

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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.