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Finding the Fourth Proportional to 14,512.20, 20,019.72 and 9,474.09

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Solution

The fourth proportional to 14,512.20, 20,019.72 and 9,474.09 is: 13,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.20 : 20,019.72 = 9,474.09 : x
  2. Step 2: Convert to fraction form
    14,512.20/20,019.72 = 9,474.09/x
  3. Step 3: Cross multiply
    14,512.20x = 20,019.72 × 9,474.09
  4. Step 4: Simplify right side
    14,512.20x = 189,668,629.05
  5. Step 5: Solve for x
    x = 189,668,629.05/14,512.20
  6. Step 6: Final answer
    x = 13,069.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.