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Finding the Fourth Proportional to 13,632.25, 18,811.57 and 7,664.82

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Solution

The fourth proportional to 13,632.25, 18,811.57 and 7,664.82 is: 10,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.25 : 18,811.57 = 7,664.82 : x
  2. Step 2: Convert to fraction form
    13,632.25/18,811.57 = 7,664.82/x
  3. Step 3: Cross multiply
    13,632.25x = 18,811.57 × 7,664.82
  4. Step 4: Simplify right side
    13,632.25x = 144,187,297.97
  5. Step 5: Solve for x
    x = 144,187,297.97/13,632.25
  6. Step 6: Final answer
    x = 10,576.93

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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.