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Finding the Fourth Proportional to 13,473.72, 20,211.39 and 4,114.40

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Solution

The fourth proportional to 13,473.72, 20,211.39 and 4,114.40 is: 6,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.72 : 20,211.39 = 4,114.40 : x
  2. Step 2: Convert to fraction form
    13,473.72/20,211.39 = 4,114.40/x
  3. Step 3: Cross multiply
    13,473.72x = 20,211.39 × 4,114.40
  4. Step 4: Simplify right side
    13,473.72x = 83,157,641.96
  5. Step 5: Solve for x
    x = 83,157,641.96/13,473.72
  6. Step 6: Final answer
    x = 6,171.84

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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.