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Finding the Fourth Proportional to 21,380.45, 29,505.92 and 11,949

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Solution

The fourth proportional to 21,380.45, 29,505.92 and 11,949 is: 16,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.45 : 29,505.92 = 11,949 : x
  2. Step 2: Convert to fraction form
    21,380.45/29,505.92 = 11,949/x
  3. Step 3: Cross multiply
    21,380.45x = 29,505.92 × 11,949
  4. Step 4: Simplify right side
    21,380.45x = 352,566,178.34
  5. Step 5: Solve for x
    x = 352,566,178.34/21,380.45
  6. Step 6: Final answer
    x = 16,490.12

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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.