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Finding the Fourth Proportional to 14,414.15, 19,889.25 and 8,040.43

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Solution

The fourth proportional to 14,414.15, 19,889.25 and 8,040.43 is: 11,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.15 : 19,889.25 = 8,040.43 : x
  2. Step 2: Convert to fraction form
    14,414.15/19,889.25 = 8,040.43/x
  3. Step 3: Cross multiply
    14,414.15x = 19,889.25 × 8,040.43
  4. Step 4: Simplify right side
    14,414.15x = 159,918,083.73
  5. Step 5: Solve for x
    x = 159,918,083.73/14,414.15
  6. Step 6: Final answer
    x = 11,094.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.