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Finding the Fourth Proportional to 19,234.10, 28,829.55 and 8,138.90

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Solution

The fourth proportional to 19,234.10, 28,829.55 and 8,138.90 is: 12,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.10 : 28,829.55 = 8,138.90 : x
  2. Step 2: Convert to fraction form
    19,234.10/28,829.55 = 8,138.90/x
  3. Step 3: Cross multiply
    19,234.10x = 28,829.55 × 8,138.90
  4. Step 4: Simplify right side
    19,234.10x = 234,640,824.50
  5. Step 5: Solve for x
    x = 234,640,824.50/19,234.10
  6. Step 6: Final answer
    x = 12,199.21

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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.