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Finding the Fourth Proportional to 19,291.33, 28,941.32 and 8,198.38

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Solution

The fourth proportional to 19,291.33, 28,941.32 and 8,198.38 is: 12,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291.33 : 28,941.32 = 8,198.38 : x
  2. Step 2: Convert to fraction form
    19,291.33/28,941.32 = 8,198.38/x
  3. Step 3: Cross multiply
    19,291.33x = 28,941.32 × 8,198.38
  4. Step 4: Simplify right side
    19,291.33x = 237,271,939.06
  5. Step 5: Solve for x
    x = 237,271,939.06/19,291.33
  6. Step 6: Final answer
    x = 12,299.41

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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.