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Finding the Fourth Proportional to 30,814.64, 42,524 and 16,667.44

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Solution

The fourth proportional to 30,814.64, 42,524 and 16,667.44 is: 23,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.64 : 42,524 = 16,667.44 : x
  2. Step 2: Convert to fraction form
    30,814.64/42,524 = 16,667.44/x
  3. Step 3: Cross multiply
    30,814.64x = 42,524 × 16,667.44
  4. Step 4: Simplify right side
    30,814.64x = 708,766,218.56
  5. Step 5: Solve for x
    x = 708,766,218.56/30,814.64
  6. Step 6: Final answer
    x = 23,000.96

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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.