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Finding the Fourth Proportional to 13,096.86, 19,652.13 and 12,391.11

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Solution

The fourth proportional to 13,096.86, 19,652.13 and 12,391.11 is: 18,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.86 : 19,652.13 = 12,391.11 : x
  2. Step 2: Convert to fraction form
    13,096.86/19,652.13 = 12,391.11/x
  3. Step 3: Cross multiply
    13,096.86x = 19,652.13 × 12,391.11
  4. Step 4: Simplify right side
    13,096.86x = 243,511,704.56
  5. Step 5: Solve for x
    x = 243,511,704.56/13,096.86
  6. Step 6: Final answer
    x = 18,593.14

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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.