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Finding the Fourth Proportional to 13,469.68, 20,185.48 and 10,135.72

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Solution

The fourth proportional to 13,469.68, 20,185.48 and 10,135.72 is: 15,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.68 : 20,185.48 = 10,135.72 : x
  2. Step 2: Convert to fraction form
    13,469.68/20,185.48 = 10,135.72/x
  3. Step 3: Cross multiply
    13,469.68x = 20,185.48 × 10,135.72
  4. Step 4: Simplify right side
    13,469.68x = 204,594,373.35
  5. Step 5: Solve for x
    x = 204,594,373.35/13,469.68
  6. Step 6: Final answer
    x = 15,189.25

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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.