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Finding the Fourth Proportional to 19,676.64, 29,519.34 and 7,196.39

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Solution

The fourth proportional to 19,676.64, 29,519.34 and 7,196.39 is: 10,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.64 : 29,519.34 = 7,196.39 : x
  2. Step 2: Convert to fraction form
    19,676.64/29,519.34 = 7,196.39/x
  3. Step 3: Cross multiply
    19,676.64x = 29,519.34 × 7,196.39
  4. Step 4: Simplify right side
    19,676.64x = 212,432,535.59
  5. Step 5: Solve for x
    x = 212,432,535.59/19,676.64
  6. Step 6: Final answer
    x = 10,796.18

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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.