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Finding the Fourth Proportional to 20,473.94, 30,710.92 and 5,682.87

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Solution

The fourth proportional to 20,473.94, 30,710.92 and 5,682.87 is: 8,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.94 : 30,710.92 = 5,682.87 : x
  2. Step 2: Convert to fraction form
    20,473.94/30,710.92 = 5,682.87/x
  3. Step 3: Cross multiply
    20,473.94x = 30,710.92 × 5,682.87
  4. Step 4: Simplify right side
    20,473.94x = 174,526,106.41
  5. Step 5: Solve for x
    x = 174,526,106.41/20,473.94
  6. Step 6: Final answer
    x = 8,524.31

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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.