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Finding the Fourth Proportional to 11,694.90, 17,459.10 and 11,284.86

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Solution

The fourth proportional to 11,694.90, 17,459.10 and 11,284.86 is: 16,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.90 : 17,459.10 = 11,284.86 : x
  2. Step 2: Convert to fraction form
    11,694.90/17,459.10 = 11,284.86/x
  3. Step 3: Cross multiply
    11,694.90x = 17,459.10 × 11,284.86
  4. Step 4: Simplify right side
    11,694.90x = 197,023,499.23
  5. Step 5: Solve for x
    x = 197,023,499.23/11,694.90
  6. Step 6: Final answer
    x = 16,846.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.