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Finding the Fourth Proportional to 20,574.96, 30,871.08 and 13,183.44

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Solution

The fourth proportional to 20,574.96, 30,871.08 and 13,183.44 is: 19,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.96 : 30,871.08 = 13,183.44 : x
  2. Step 2: Convert to fraction form
    20,574.96/30,871.08 = 13,183.44/x
  3. Step 3: Cross multiply
    20,574.96x = 30,871.08 × 13,183.44
  4. Step 4: Simplify right side
    20,574.96x = 406,987,030.92
  5. Step 5: Solve for x
    x = 406,987,030.92/20,574.96
  6. Step 6: Final answer
    x = 19,780.70

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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.