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Finding the Fourth Proportional to 21,677.52, 29,896.26 and 14,121

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Solution

The fourth proportional to 21,677.52, 29,896.26 and 14,121 is: 19,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.52 : 29,896.26 = 14,121 : x
  2. Step 2: Convert to fraction form
    21,677.52/29,896.26 = 14,121/x
  3. Step 3: Cross multiply
    21,677.52x = 29,896.26 × 14,121
  4. Step 4: Simplify right side
    21,677.52x = 422,165,087.46
  5. Step 5: Solve for x
    x = 422,165,087.46/21,677.52
  6. Step 6: Final answer
    x = 19,474.79

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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.