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Finding the Fourth Proportional to 21,318.42, 29,419 and 11,759.18

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Solution

The fourth proportional to 21,318.42, 29,419 and 11,759.18 is: 16,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.42 : 29,419 = 11,759.18 : x
  2. Step 2: Convert to fraction form
    21,318.42/29,419 = 11,759.18/x
  3. Step 3: Cross multiply
    21,318.42x = 29,419 × 11,759.18
  4. Step 4: Simplify right side
    21,318.42x = 345,943,316.42
  5. Step 5: Solve for x
    x = 345,943,316.42/21,318.42
  6. Step 6: Final answer
    x = 16,227.44

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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.