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Finding the Fourth Proportional to 14,414.82, 19,892.46 and 7,790.82

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Solution

The fourth proportional to 14,414.82, 19,892.46 and 7,790.82 is: 10,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.82 : 19,892.46 = 7,790.82 : x
  2. Step 2: Convert to fraction form
    14,414.82/19,892.46 = 7,790.82/x
  3. Step 3: Cross multiply
    14,414.82x = 19,892.46 × 7,790.82
  4. Step 4: Simplify right side
    14,414.82x = 154,978,575.22
  5. Step 5: Solve for x
    x = 154,978,575.22/14,414.82
  6. Step 6: Final answer
    x = 10,751.34

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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.