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Finding the Fourth Proportional to 13,078.10, 19,625.22 and 5,179.28

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Solution

The fourth proportional to 13,078.10, 19,625.22 and 5,179.28 is: 7,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.10 : 19,625.22 = 5,179.28 : x
  2. Step 2: Convert to fraction form
    13,078.10/19,625.22 = 5,179.28/x
  3. Step 3: Cross multiply
    13,078.10x = 19,625.22 × 5,179.28
  4. Step 4: Simplify right side
    13,078.10x = 101,644,509.44
  5. Step 5: Solve for x
    x = 101,644,509.44/13,078.10
  6. Step 6: Final answer
    x = 7,772.12

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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.