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Finding the Fourth Proportional to 13,674.81, 20,513.22 and 4,909.80

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Solution

The fourth proportional to 13,674.81, 20,513.22 and 4,909.80 is: 7,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.81 : 20,513.22 = 4,909.80 : x
  2. Step 2: Convert to fraction form
    13,674.81/20,513.22 = 4,909.80/x
  3. Step 3: Cross multiply
    13,674.81x = 20,513.22 × 4,909.80
  4. Step 4: Simplify right side
    13,674.81x = 100,715,807.56
  5. Step 5: Solve for x
    x = 100,715,807.56/13,674.81
  6. Step 6: Final answer
    x = 7,365.06

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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.