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Finding the Fourth Proportional to 13,002.80, 19,512.60 and 7,163.60

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Solution

The fourth proportional to 13,002.80, 19,512.60 and 7,163.60 is: 10,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.80 : 19,512.60 = 7,163.60 : x
  2. Step 2: Convert to fraction form
    13,002.80/19,512.60 = 7,163.60/x
  3. Step 3: Cross multiply
    13,002.80x = 19,512.60 × 7,163.60
  4. Step 4: Simplify right side
    13,002.80x = 139,780,461.36
  5. Step 5: Solve for x
    x = 139,780,461.36/13,002.80
  6. Step 6: Final answer
    x = 10,750.03

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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.