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Finding the Fourth Proportional to 13,183.68, 19,775.49 and 5,289.75

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Solution

The fourth proportional to 13,183.68, 19,775.49 and 5,289.75 is: 7,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.68 : 19,775.49 = 5,289.75 : x
  2. Step 2: Convert to fraction form
    13,183.68/19,775.49 = 5,289.75/x
  3. Step 3: Cross multiply
    13,183.68x = 19,775.49 × 5,289.75
  4. Step 4: Simplify right side
    13,183.68x = 104,607,398.23
  5. Step 5: Solve for x
    x = 104,607,398.23/13,183.68
  6. Step 6: Final answer
    x = 7,934.61

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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.