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Finding the Fourth Proportional to 19,826.34, 29,741.34 and 7,179.24

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Solution

The fourth proportional to 19,826.34, 29,741.34 and 7,179.24 is: 10,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.34 : 29,741.34 = 7,179.24 : x
  2. Step 2: Convert to fraction form
    19,826.34/29,741.34 = 7,179.24/x
  3. Step 3: Cross multiply
    19,826.34x = 29,741.34 × 7,179.24
  4. Step 4: Simplify right side
    19,826.34x = 213,520,217.78
  5. Step 5: Solve for x
    x = 213,520,217.78/19,826.34
  6. Step 6: Final answer
    x = 10,769.52

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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.