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Finding the Fourth Proportional to 12,781.90, 19,173.03 and 4,016.82

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Solution

The fourth proportional to 12,781.90, 19,173.03 and 4,016.82 is: 6,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.90 : 19,173.03 = 4,016.82 : x
  2. Step 2: Convert to fraction form
    12,781.90/19,173.03 = 4,016.82/x
  3. Step 3: Cross multiply
    12,781.90x = 19,173.03 × 4,016.82
  4. Step 4: Simplify right side
    12,781.90x = 77,014,610.36
  5. Step 5: Solve for x
    x = 77,014,610.36/12,781.90
  6. Step 6: Final answer
    x = 6,025.29

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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.