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Finding the Fourth Proportional to 12,778.36, 19,168.62 and 4,013.28

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Solution

The fourth proportional to 12,778.36, 19,168.62 and 4,013.28 is: 6,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.36 : 19,168.62 = 4,013.28 : x
  2. Step 2: Convert to fraction form
    12,778.36/19,168.62 = 4,013.28/x
  3. Step 3: Cross multiply
    12,778.36x = 19,168.62 × 4,013.28
  4. Step 4: Simplify right side
    12,778.36x = 76,929,024.22
  5. Step 5: Solve for x
    x = 76,929,024.22/12,778.36
  6. Step 6: Final answer
    x = 6,020.26

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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.