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Finding the Fourth Proportional to 12,709.60, 19,062.24 and 3,473.44

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Solution

The fourth proportional to 12,709.60, 19,062.24 and 3,473.44 is: 5,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.60 : 19,062.24 = 3,473.44 : x
  2. Step 2: Convert to fraction form
    12,709.60/19,062.24 = 3,473.44/x
  3. Step 3: Cross multiply
    12,709.60x = 19,062.24 × 3,473.44
  4. Step 4: Simplify right side
    12,709.60x = 66,211,546.91
  5. Step 5: Solve for x
    x = 66,211,546.91/12,709.60
  6. Step 6: Final answer
    x = 5,209.57

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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.