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Finding the Fourth Proportional to 11,906.98, 16,394.21 and 10,110.69

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Solution

The fourth proportional to 11,906.98, 16,394.21 and 10,110.69 is: 13,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.98 : 16,394.21 = 10,110.69 : x
  2. Step 2: Convert to fraction form
    11,906.98/16,394.21 = 10,110.69/x
  3. Step 3: Cross multiply
    11,906.98x = 16,394.21 × 10,110.69
  4. Step 4: Simplify right side
    11,906.98x = 165,756,762.47
  5. Step 5: Solve for x
    x = 165,756,762.47/11,906.98
  6. Step 6: Final answer
    x = 13,920.98

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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.