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Finding the Fourth Proportional to 21,419, 29,576.46 and 13,474.52

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Solution

The fourth proportional to 21,419, 29,576.46 and 13,474.52 is: 18,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419 : 29,576.46 = 13,474.52 : x
  2. Step 2: Convert to fraction form
    21,419/29,576.46 = 13,474.52/x
  3. Step 3: Cross multiply
    21,419x = 29,576.46 × 13,474.52
  4. Step 4: Simplify right side
    21,419x = 398,528,601.80
  5. Step 5: Solve for x
    x = 398,528,601.80/21,419
  6. Step 6: Final answer
    x = 18,606.31

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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.