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Finding the Fourth Proportional to 19,498.26, 29,247.36 and 7,819.68

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Solution

The fourth proportional to 19,498.26, 29,247.36 and 7,819.68 is: 11,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.26 : 29,247.36 = 7,819.68 : x
  2. Step 2: Convert to fraction form
    19,498.26/29,247.36 = 7,819.68/x
  3. Step 3: Cross multiply
    19,498.26x = 29,247.36 × 7,819.68
  4. Step 4: Simplify right side
    19,498.26x = 228,704,996.04
  5. Step 5: Solve for x
    x = 228,704,996.04/19,498.26
  6. Step 6: Final answer
    x = 11,729.51

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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.