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Finding the Fourth Proportional to 12,794.94, 19,189.53 and 4,586.94

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Solution

The fourth proportional to 12,794.94, 19,189.53 and 4,586.94 is: 6,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.94 : 19,189.53 = 4,586.94 : x
  2. Step 2: Convert to fraction form
    12,794.94/19,189.53 = 4,586.94/x
  3. Step 3: Cross multiply
    12,794.94x = 19,189.53 × 4,586.94
  4. Step 4: Simplify right side
    12,794.94x = 88,021,222.74
  5. Step 5: Solve for x
    x = 88,021,222.74/12,794.94
  6. Step 6: Final answer
    x = 6,879.38

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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.