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Finding the Fourth Proportional to 13,012.20, 19,469.70 and 8,638.20

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Solution

The fourth proportional to 13,012.20, 19,469.70 and 8,638.20 is: 12,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.20 : 19,469.70 = 8,638.20 : x
  2. Step 2: Convert to fraction form
    13,012.20/19,469.70 = 8,638.20/x
  3. Step 3: Cross multiply
    13,012.20x = 19,469.70 × 8,638.20
  4. Step 4: Simplify right side
    13,012.20x = 168,183,162.54
  5. Step 5: Solve for x
    x = 168,183,162.54/13,012.20
  6. Step 6: Final answer
    x = 12,925.04

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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.