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Finding the Fourth Proportional to 14,798.82, 20,422.49 and 8,084.33

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Solution

The fourth proportional to 14,798.82, 20,422.49 and 8,084.33 is: 11,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.82 : 20,422.49 = 8,084.33 : x
  2. Step 2: Convert to fraction form
    14,798.82/20,422.49 = 8,084.33/x
  3. Step 3: Cross multiply
    14,798.82x = 20,422.49 × 8,084.33
  4. Step 4: Simplify right side
    14,798.82x = 165,102,006.05
  5. Step 5: Solve for x
    x = 165,102,006.05/14,798.82
  6. Step 6: Final answer
    x = 11,156.43

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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.