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Finding the Fourth Proportional to 19,670.45, 29,508.73 and 7,984.49

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Solution

The fourth proportional to 19,670.45, 29,508.73 and 7,984.49 is: 11,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.45 : 29,508.73 = 7,984.49 : x
  2. Step 2: Convert to fraction form
    19,670.45/29,508.73 = 7,984.49/x
  3. Step 3: Cross multiply
    19,670.45x = 29,508.73 × 7,984.49
  4. Step 4: Simplify right side
    19,670.45x = 235,611,992.09
  5. Step 5: Solve for x
    x = 235,611,992.09/19,670.45
  6. Step 6: Final answer
    x = 11,977.97

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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.