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Finding the Fourth Proportional to 13,601.77, 18,771.27 and 7,633.82

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Solution

The fourth proportional to 13,601.77, 18,771.27 and 7,633.82 is: 10,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.77 : 18,771.27 = 7,633.82 : x
  2. Step 2: Convert to fraction form
    13,601.77/18,771.27 = 7,633.82/x
  3. Step 3: Cross multiply
    13,601.77x = 18,771.27 × 7,633.82
  4. Step 4: Simplify right side
    13,601.77x = 143,296,496.35
  5. Step 5: Solve for x
    x = 143,296,496.35/13,601.77
  6. Step 6: Final answer
    x = 10,535.14

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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.