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Finding the Fourth Proportional to 12,676.05, 19,014.08 and 11,466.45

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Solution

The fourth proportional to 12,676.05, 19,014.08 and 11,466.45 is: 17,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.05 : 19,014.08 = 11,466.45 : x
  2. Step 2: Convert to fraction form
    12,676.05/19,014.08 = 11,466.45/x
  3. Step 3: Cross multiply
    12,676.05x = 19,014.08 × 11,466.45
  4. Step 4: Simplify right side
    12,676.05x = 218,023,940.28
  5. Step 5: Solve for x
    x = 218,023,940.28/12,676.05
  6. Step 6: Final answer
    x = 17,199.68

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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.