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Finding the Fourth Proportional to 19,229.34, 28,838.06 and 8,135.86

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Solution

The fourth proportional to 19,229.34, 28,838.06 and 8,135.86 is: 12,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.34 : 28,838.06 = 8,135.86 : x
  2. Step 2: Convert to fraction form
    19,229.34/28,838.06 = 8,135.86/x
  3. Step 3: Cross multiply
    19,229.34x = 28,838.06 × 8,135.86
  4. Step 4: Simplify right side
    19,229.34x = 234,622,418.83
  5. Step 5: Solve for x
    x = 234,622,418.83/19,229.34
  6. Step 6: Final answer
    x = 12,201.27

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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.