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Finding the Fourth Proportional to 20,473.96, 30,710.78 and 5,683.08

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Solution

The fourth proportional to 20,473.96, 30,710.78 and 5,683.08 is: 8,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.96 : 30,710.78 = 5,683.08 : x
  2. Step 2: Convert to fraction form
    20,473.96/30,710.78 = 5,683.08/x
  3. Step 3: Cross multiply
    20,473.96x = 30,710.78 × 5,683.08
  4. Step 4: Simplify right side
    20,473.96x = 174,531,819.60
  5. Step 5: Solve for x
    x = 174,531,819.60/20,473.96
  6. Step 6: Final answer
    x = 8,524.58

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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.