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Finding the Fourth Proportional to 13,783.44, 20,675.14 and 4,424.42

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Solution

The fourth proportional to 13,783.44, 20,675.14 and 4,424.42 is: 6,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.44 : 20,675.14 = 4,424.42 : x
  2. Step 2: Convert to fraction form
    13,783.44/20,675.14 = 4,424.42/x
  3. Step 3: Cross multiply
    13,783.44x = 20,675.14 × 4,424.42
  4. Step 4: Simplify right side
    13,783.44x = 91,475,502.92
  5. Step 5: Solve for x
    x = 91,475,502.92/13,783.44
  6. Step 6: Final answer
    x = 6,636.62

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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.