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Finding the Fourth Proportional to 23,682.40, 35,523.60 and 20,164.30

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Solution

The fourth proportional to 23,682.40, 35,523.60 and 20,164.30 is: 30,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.40 : 35,523.60 = 20,164.30 : x
  2. Step 2: Convert to fraction form
    23,682.40/35,523.60 = 20,164.30/x
  3. Step 3: Cross multiply
    23,682.40x = 35,523.60 × 20,164.30
  4. Step 4: Simplify right side
    23,682.40x = 716,308,527.48
  5. Step 5: Solve for x
    x = 716,308,527.48/23,682.40
  6. Step 6: Final answer
    x = 30,246.45

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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.