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Finding the Fourth Proportional to 13,800.80, 20,701.20 and 12,461.60

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Solution

The fourth proportional to 13,800.80, 20,701.20 and 12,461.60 is: 18,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.80 : 20,701.20 = 12,461.60 : x
  2. Step 2: Convert to fraction form
    13,800.80/20,701.20 = 12,461.60/x
  3. Step 3: Cross multiply
    13,800.80x = 20,701.20 × 12,461.60
  4. Step 4: Simplify right side
    13,800.80x = 257,970,073.92
  5. Step 5: Solve for x
    x = 257,970,073.92/13,800.80
  6. Step 6: Final answer
    x = 18,692.40

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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.