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Finding the Fourth Proportional to 19,228.26, 28,847.70 and 8,129.10

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Solution

The fourth proportional to 19,228.26, 28,847.70 and 8,129.10 is: 12,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,228.26 : 28,847.70 = 8,129.10 : x
  2. Step 2: Convert to fraction form
    19,228.26/28,847.70 = 8,129.10/x
  3. Step 3: Cross multiply
    19,228.26x = 28,847.70 × 8,129.10
  4. Step 4: Simplify right side
    19,228.26x = 234,505,838.07
  5. Step 5: Solve for x
    x = 234,505,838.07/19,228.26
  6. Step 6: Final answer
    x = 12,195.89

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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.