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Finding the Fourth Proportional to 34,506.27, 51,735.17 and 13,428.56

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Solution

The fourth proportional to 34,506.27, 51,735.17 and 13,428.56 is: 20,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.27 : 51,735.17 = 13,428.56 : x
  2. Step 2: Convert to fraction form
    34,506.27/51,735.17 = 13,428.56/x
  3. Step 3: Cross multiply
    34,506.27x = 51,735.17 × 13,428.56
  4. Step 4: Simplify right side
    34,506.27x = 694,728,508.64
  5. Step 5: Solve for x
    x = 694,728,508.64/34,506.27
  6. Step 6: Final answer
    x = 20,133.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.