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Finding the Fourth Proportional to 13,420.08, 20,107.38 and 8,215.08

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Solution

The fourth proportional to 13,420.08, 20,107.38 and 8,215.08 is: 12,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.08 : 20,107.38 = 8,215.08 : x
  2. Step 2: Convert to fraction form
    13,420.08/20,107.38 = 8,215.08/x
  3. Step 3: Cross multiply
    13,420.08x = 20,107.38 × 8,215.08
  4. Step 4: Simplify right side
    13,420.08x = 165,183,735.29
  5. Step 5: Solve for x
    x = 165,183,735.29/13,420.08
  6. Step 6: Final answer
    x = 12,308.70

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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.