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Finding the Fourth Proportional to 13,632.20, 18,812.64 and 7,663.84

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Solution

The fourth proportional to 13,632.20, 18,812.64 and 7,663.84 is: 10,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.20 : 18,812.64 = 7,663.84 : x
  2. Step 2: Convert to fraction form
    13,632.20/18,812.64 = 7,663.84/x
  3. Step 3: Cross multiply
    13,632.20x = 18,812.64 × 7,663.84
  4. Step 4: Simplify right side
    13,632.20x = 144,177,062.94
  5. Step 5: Solve for x
    x = 144,177,062.94/13,632.20
  6. Step 6: Final answer
    x = 10,576.21

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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.