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Finding the Fourth Proportional to 13,729.44, 20,592 and 3,869.76

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Solution

The fourth proportional to 13,729.44, 20,592 and 3,869.76 is: 5,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.44 : 20,592 = 3,869.76 : x
  2. Step 2: Convert to fraction form
    13,729.44/20,592 = 3,869.76/x
  3. Step 3: Cross multiply
    13,729.44x = 20,592 × 3,869.76
  4. Step 4: Simplify right side
    13,729.44x = 79,686,097.92
  5. Step 5: Solve for x
    x = 79,686,097.92/13,729.44
  6. Step 6: Final answer
    x = 5,804.03

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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.