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Finding the Fourth Proportional to 13,034.34, 19,552.80 and 3,674.34

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Solution

The fourth proportional to 13,034.34, 19,552.80 and 3,674.34 is: 5,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.34 : 19,552.80 = 3,674.34 : x
  2. Step 2: Convert to fraction form
    13,034.34/19,552.80 = 3,674.34/x
  3. Step 3: Cross multiply
    13,034.34x = 19,552.80 × 3,674.34
  4. Step 4: Simplify right side
    13,034.34x = 71,843,635.15
  5. Step 5: Solve for x
    x = 71,843,635.15/13,034.34
  6. Step 6: Final answer
    x = 5,511.87

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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.