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Finding the Fourth Proportional to 14,324.85, 19,769.99 and 8,038.17

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Solution

The fourth proportional to 14,324.85, 19,769.99 and 8,038.17 is: 11,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.85 : 19,769.99 = 8,038.17 : x
  2. Step 2: Convert to fraction form
    14,324.85/19,769.99 = 8,038.17/x
  3. Step 3: Cross multiply
    14,324.85x = 19,769.99 × 8,038.17
  4. Step 4: Simplify right side
    14,324.85x = 158,914,540.52
  5. Step 5: Solve for x
    x = 158,914,540.52/14,324.85
  6. Step 6: Final answer
    x = 11,093.63

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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.