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Finding the Fourth Proportional to 19,826.24, 29,735.98 and 6,498.97

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Solution

The fourth proportional to 19,826.24, 29,735.98 and 6,498.97 is: 9,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.24 : 29,735.98 = 6,498.97 : x
  2. Step 2: Convert to fraction form
    19,826.24/29,735.98 = 6,498.97/x
  3. Step 3: Cross multiply
    19,826.24x = 29,735.98 × 6,498.97
  4. Step 4: Simplify right side
    19,826.24x = 193,253,151.35
  5. Step 5: Solve for x
    x = 193,253,151.35/19,826.24
  6. Step 6: Final answer
    x = 9,747.34

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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.