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Finding the Fourth Proportional to 13,096.19, 19,589.24 and 11,040.24

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Solution

The fourth proportional to 13,096.19, 19,589.24 and 11,040.24 is: 16,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.19 : 19,589.24 = 11,040.24 : x
  2. Step 2: Convert to fraction form
    13,096.19/19,589.24 = 11,040.24/x
  3. Step 3: Cross multiply
    13,096.19x = 19,589.24 × 11,040.24
  4. Step 4: Simplify right side
    13,096.19x = 216,269,911.02
  5. Step 5: Solve for x
    x = 216,269,911.02/13,096.19
  6. Step 6: Final answer
    x = 16,513.96

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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.