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Finding the Fourth Proportional to 19,231.65, 28,850.45 and 8,138.40

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Solution

The fourth proportional to 19,231.65, 28,850.45 and 8,138.40 is: 12,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231.65 : 28,850.45 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    19,231.65/28,850.45 = 8,138.40/x
  3. Step 3: Cross multiply
    19,231.65x = 28,850.45 × 8,138.40
  4. Step 4: Simplify right side
    19,231.65x = 234,796,502.28
  5. Step 5: Solve for x
    x = 234,796,502.28/19,231.65
  6. Step 6: Final answer
    x = 12,208.86

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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.