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Finding the Fourth Proportional to 12,778.46, 19,166.07 and 9,496.34

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Solution

The fourth proportional to 12,778.46, 19,166.07 and 9,496.34 is: 14,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.46 : 19,166.07 = 9,496.34 : x
  2. Step 2: Convert to fraction form
    12,778.46/19,166.07 = 9,496.34/x
  3. Step 3: Cross multiply
    12,778.46x = 19,166.07 × 9,496.34
  4. Step 4: Simplify right side
    12,778.46x = 182,007,517.18
  5. Step 5: Solve for x
    x = 182,007,517.18/12,778.46
  6. Step 6: Final answer
    x = 14,243.31

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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.