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Finding the Fourth Proportional to 13,650.96, 18,838.26 and 7,682.72

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Solution

The fourth proportional to 13,650.96, 18,838.26 and 7,682.72 is: 10,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.96 : 18,838.26 = 7,682.72 : x
  2. Step 2: Convert to fraction form
    13,650.96/18,838.26 = 7,682.72/x
  3. Step 3: Cross multiply
    13,650.96x = 18,838.26 × 7,682.72
  4. Step 4: Simplify right side
    13,650.96x = 144,729,076.87
  5. Step 5: Solve for x
    x = 144,729,076.87/13,650.96
  6. Step 6: Final answer
    x = 10,602.12

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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.