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Finding the Fourth Proportional to 13,704.69, 20,457.87 and 12,043.98

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Solution

The fourth proportional to 13,704.69, 20,457.87 and 12,043.98 is: 17,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.69 : 20,457.87 = 12,043.98 : x
  2. Step 2: Convert to fraction form
    13,704.69/20,457.87 = 12,043.98/x
  3. Step 3: Cross multiply
    13,704.69x = 20,457.87 × 12,043.98
  4. Step 4: Simplify right side
    13,704.69x = 246,394,177.12
  5. Step 5: Solve for x
    x = 246,394,177.12/13,704.69
  6. Step 6: Final answer
    x = 17,978.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.