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Finding the Fourth Proportional to 13,474.35, 20,212.74 and 6,082.29

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Solution

The fourth proportional to 13,474.35, 20,212.74 and 6,082.29 is: 9,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.35 : 20,212.74 = 6,082.29 : x
  2. Step 2: Convert to fraction form
    13,474.35/20,212.74 = 6,082.29/x
  3. Step 3: Cross multiply
    13,474.35x = 20,212.74 × 6,082.29
  4. Step 4: Simplify right side
    13,474.35x = 122,939,746.37
  5. Step 5: Solve for x
    x = 122,939,746.37/13,474.35
  6. Step 6: Final answer
    x = 9,123.98

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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.