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Finding the Fourth Proportional to 11,914.98, 16,442.40 and 6,609.68

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Solution

The fourth proportional to 11,914.98, 16,442.40 and 6,609.68 is: 9,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.98 : 16,442.40 = 6,609.68 : x
  2. Step 2: Convert to fraction form
    11,914.98/16,442.40 = 6,609.68/x
  3. Step 3: Cross multiply
    11,914.98x = 16,442.40 × 6,609.68
  4. Step 4: Simplify right side
    11,914.98x = 108,679,002.43
  5. Step 5: Solve for x
    x = 108,679,002.43/11,914.98
  6. Step 6: Final answer
    x = 9,121.21

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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.