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Finding the Fourth Proportional to 13,816.40, 20,740.80 and 8,274.80

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Solution

The fourth proportional to 13,816.40, 20,740.80 and 8,274.80 is: 12,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.40 : 20,740.80 = 8,274.80 : x
  2. Step 2: Convert to fraction form
    13,816.40/20,740.80 = 8,274.80/x
  3. Step 3: Cross multiply
    13,816.40x = 20,740.80 × 8,274.80
  4. Step 4: Simplify right side
    13,816.40x = 171,625,971.84
  5. Step 5: Solve for x
    x = 171,625,971.84/13,816.40
  6. Step 6: Final answer
    x = 12,421.90

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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.