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Finding the Fourth Proportional to 16,096.92, 24,127.94 and 13,188.12

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Solution

The fourth proportional to 16,096.92, 24,127.94 and 13,188.12 is: 19,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.92 : 24,127.94 = 13,188.12 : x
  2. Step 2: Convert to fraction form
    16,096.92/24,127.94 = 13,188.12/x
  3. Step 3: Cross multiply
    16,096.92x = 24,127.94 × 13,188.12
  4. Step 4: Simplify right side
    16,096.92x = 318,202,168.07
  5. Step 5: Solve for x
    x = 318,202,168.07/16,096.92
  6. Step 6: Final answer
    x = 19,767.89

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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.