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Finding the Fourth Proportional to 13,189.37, 19,785.99 and 3,828.17

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Solution

The fourth proportional to 13,189.37, 19,785.99 and 3,828.17 is: 5,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.37 : 19,785.99 = 3,828.17 : x
  2. Step 2: Convert to fraction form
    13,189.37/19,785.99 = 3,828.17/x
  3. Step 3: Cross multiply
    13,189.37x = 19,785.99 × 3,828.17
  4. Step 4: Simplify right side
    13,189.37x = 75,744,034.41
  5. Step 5: Solve for x
    x = 75,744,034.41/13,189.37
  6. Step 6: Final answer
    x = 5,742.81

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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.