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Finding the Fourth Proportional to 13,678.16, 20,493.66 and 10,682.24

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Solution

The fourth proportional to 13,678.16, 20,493.66 and 10,682.24 is: 16,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.16 : 20,493.66 = 10,682.24 : x
  2. Step 2: Convert to fraction form
    13,678.16/20,493.66 = 10,682.24/x
  3. Step 3: Cross multiply
    13,678.16x = 20,493.66 × 10,682.24
  4. Step 4: Simplify right side
    13,678.16x = 218,918,194.60
  5. Step 5: Solve for x
    x = 218,918,194.60/13,678.16
  6. Step 6: Final answer
    x = 16,004.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.