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Finding the Fourth Proportional to 13,456.81, 20,185.92 and 4,096.11

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Solution

The fourth proportional to 13,456.81, 20,185.92 and 4,096.11 is: 6,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.81 : 20,185.92 = 4,096.11 : x
  2. Step 2: Convert to fraction form
    13,456.81/20,185.92 = 4,096.11/x
  3. Step 3: Cross multiply
    13,456.81x = 20,185.92 × 4,096.11
  4. Step 4: Simplify right side
    13,456.81x = 82,683,748.77
  5. Step 5: Solve for x
    x = 82,683,748.77/13,456.81
  6. Step 6: Final answer
    x = 6,144.38

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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.