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Finding the Fourth Proportional to 19,049.29, 28,573.63 and 5,198.29

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Solution

The fourth proportional to 19,049.29, 28,573.63 and 5,198.29 is: 7,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.29 : 28,573.63 = 5,198.29 : x
  2. Step 2: Convert to fraction form
    19,049.29/28,573.63 = 5,198.29/x
  3. Step 3: Cross multiply
    19,049.29x = 28,573.63 × 5,198.29
  4. Step 4: Simplify right side
    19,049.29x = 148,534,015.09
  5. Step 5: Solve for x
    x = 148,534,015.09/19,049.29
  6. Step 6: Final answer
    x = 7,797.35

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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.