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Finding the Fourth Proportional to 13,510.80, 20,266.20 and 9,768.60

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Solution

The fourth proportional to 13,510.80, 20,266.20 and 9,768.60 is: 14,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.80 : 20,266.20 = 9,768.60 : x
  2. Step 2: Convert to fraction form
    13,510.80/20,266.20 = 9,768.60/x
  3. Step 3: Cross multiply
    13,510.80x = 20,266.20 × 9,768.60
  4. Step 4: Simplify right side
    13,510.80x = 197,972,401.32
  5. Step 5: Solve for x
    x = 197,972,401.32/13,510.80
  6. Step 6: Final answer
    x = 14,652.90

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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.