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Finding the Fourth Proportional to 32,169.69, 44,394.14 and 18,022.64

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Solution

The fourth proportional to 32,169.69, 44,394.14 and 18,022.64 is: 24,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.69 : 44,394.14 = 18,022.64 : x
  2. Step 2: Convert to fraction form
    32,169.69/44,394.14 = 18,022.64/x
  3. Step 3: Cross multiply
    32,169.69x = 44,394.14 × 18,022.64
  4. Step 4: Simplify right side
    32,169.69x = 800,099,426.42
  5. Step 5: Solve for x
    x = 800,099,426.42/32,169.69
  6. Step 6: Final answer
    x = 24,871.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.