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Finding the Fourth Proportional to 13,050.84, 19,576.23 and 6,481.64

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Solution

The fourth proportional to 13,050.84, 19,576.23 and 6,481.64 is: 9,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050.84 : 19,576.23 = 6,481.64 : x
  2. Step 2: Convert to fraction form
    13,050.84/19,576.23 = 6,481.64/x
  3. Step 3: Cross multiply
    13,050.84x = 19,576.23 × 6,481.64
  4. Step 4: Simplify right side
    13,050.84x = 126,885,977.54
  5. Step 5: Solve for x
    x = 126,885,977.54/13,050.84
  6. Step 6: Final answer
    x = 9,722.44

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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.