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Finding the Fourth Proportional to 13,635.81, 20,432.76 and 8,078.10

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Solution

The fourth proportional to 13,635.81, 20,432.76 and 8,078.10 is: 12,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.81 : 20,432.76 = 8,078.10 : x
  2. Step 2: Convert to fraction form
    13,635.81/20,432.76 = 8,078.10/x
  3. Step 3: Cross multiply
    13,635.81x = 20,432.76 × 8,078.10
  4. Step 4: Simplify right side
    13,635.81x = 165,057,771.64
  5. Step 5: Solve for x
    x = 165,057,771.64/13,635.81
  6. Step 6: Final answer
    x = 12,104.73

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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.