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Finding the Fourth Proportional to 13,651.09, 18,838.44 and 7,682.86

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Solution

The fourth proportional to 13,651.09, 18,838.44 and 7,682.86 is: 10,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.09 : 18,838.44 = 7,682.86 : x
  2. Step 2: Convert to fraction form
    13,651.09/18,838.44 = 7,682.86/x
  3. Step 3: Cross multiply
    13,651.09x = 18,838.44 × 7,682.86
  4. Step 4: Simplify right side
    13,651.09x = 144,733,097.14
  5. Step 5: Solve for x
    x = 144,733,097.14/13,651.09
  6. Step 6: Final answer
    x = 10,602.31

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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.