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Finding the Fourth Proportional to 13,028.54, 19,553.74 and 5,638.64

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Solution

The fourth proportional to 13,028.54, 19,553.74 and 5,638.64 is: 8,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.54 : 19,553.74 = 5,638.64 : x
  2. Step 2: Convert to fraction form
    13,028.54/19,553.74 = 5,638.64/x
  3. Step 3: Cross multiply
    13,028.54x = 19,553.74 × 5,638.64
  4. Step 4: Simplify right side
    13,028.54x = 110,256,388.65
  5. Step 5: Solve for x
    x = 110,256,388.65/13,028.54
  6. Step 6: Final answer
    x = 8,462.69

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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.