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Finding the Fourth Proportional to 12,997.67, 17,930.43 and 8,519.45

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Solution

The fourth proportional to 12,997.67, 17,930.43 and 8,519.45 is: 11,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.67 : 17,930.43 = 8,519.45 : x
  2. Step 2: Convert to fraction form
    12,997.67/17,930.43 = 8,519.45/x
  3. Step 3: Cross multiply
    12,997.67x = 17,930.43 × 8,519.45
  4. Step 4: Simplify right side
    12,997.67x = 152,757,312.21
  5. Step 5: Solve for x
    x = 152,757,312.21/12,997.67
  6. Step 6: Final answer
    x = 11,752.67

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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.