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Finding the Fourth Proportional to 13,491.72, 18,616.83 and 7,825.26

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Solution

The fourth proportional to 13,491.72, 18,616.83 and 7,825.26 is: 10,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.72 : 18,616.83 = 7,825.26 : x
  2. Step 2: Convert to fraction form
    13,491.72/18,616.83 = 7,825.26/x
  3. Step 3: Cross multiply
    13,491.72x = 18,616.83 × 7,825.26
  4. Step 4: Simplify right side
    13,491.72x = 145,681,535.13
  5. Step 5: Solve for x
    x = 145,681,535.13/13,491.72
  6. Step 6: Final answer
    x = 10,797.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.