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Finding the Fourth Proportional to 13,682.98, 20,512.47 and 4,796.86

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Solution

The fourth proportional to 13,682.98, 20,512.47 and 4,796.86 is: 7,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.98 : 20,512.47 = 4,796.86 : x
  2. Step 2: Convert to fraction form
    13,682.98/20,512.47 = 4,796.86/x
  3. Step 3: Cross multiply
    13,682.98x = 20,512.47 × 4,796.86
  4. Step 4: Simplify right side
    13,682.98x = 98,395,446.84
  5. Step 5: Solve for x
    x = 98,395,446.84/13,682.98
  6. Step 6: Final answer
    x = 7,191.08

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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.