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Finding the Fourth Proportional to 30,814.36, 42,523.82 and 16,667.20

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Solution

The fourth proportional to 30,814.36, 42,523.82 and 16,667.20 is: 23,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.36 : 42,523.82 = 16,667.20 : x
  2. Step 2: Convert to fraction form
    30,814.36/42,523.82 = 16,667.20/x
  3. Step 3: Cross multiply
    30,814.36x = 42,523.82 × 16,667.20
  4. Step 4: Simplify right side
    30,814.36x = 708,753,012.70
  5. Step 5: Solve for x
    x = 708,753,012.70/30,814.36
  6. Step 6: Final answer
    x = 23,000.74

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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.