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Finding the Fourth Proportional to 13,229.53, 19,844.33 and 5,834.03

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Solution

The fourth proportional to 13,229.53, 19,844.33 and 5,834.03 is: 8,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.53 : 19,844.33 = 5,834.03 : x
  2. Step 2: Convert to fraction form
    13,229.53/19,844.33 = 5,834.03/x
  3. Step 3: Cross multiply
    13,229.53x = 19,844.33 × 5,834.03
  4. Step 4: Simplify right side
    13,229.53x = 115,772,288.16
  5. Step 5: Solve for x
    x = 115,772,288.16/13,229.53
  6. Step 6: Final answer
    x = 8,751.05

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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.