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Finding the Fourth Proportional to 13,142.80, 19,732.20 and 8,491.60

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Solution

The fourth proportional to 13,142.80, 19,732.20 and 8,491.60 is: 12,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.80 : 19,732.20 = 8,491.60 : x
  2. Step 2: Convert to fraction form
    13,142.80/19,732.20 = 8,491.60/x
  3. Step 3: Cross multiply
    13,142.80x = 19,732.20 × 8,491.60
  4. Step 4: Simplify right side
    13,142.80x = 167,557,949.52
  5. Step 5: Solve for x
    x = 167,557,949.52/13,142.80
  6. Step 6: Final answer
    x = 12,749.03

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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.