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Finding the Fourth Proportional to 31,814.84, 43,903.80 and 17,667.44

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Solution

The fourth proportional to 31,814.84, 43,903.80 and 17,667.44 is: 24,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.84 : 43,903.80 = 17,667.44 : x
  2. Step 2: Convert to fraction form
    31,814.84/43,903.80 = 17,667.44/x
  3. Step 3: Cross multiply
    31,814.84x = 43,903.80 × 17,667.44
  4. Step 4: Simplify right side
    31,814.84x = 775,667,752.27
  5. Step 5: Solve for x
    x = 775,667,752.27/31,814.84
  6. Step 6: Final answer
    x = 24,380.69

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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.