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Finding the Fourth Proportional to 31,711.84, 43,760.40 and 17,563.84

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Solution

The fourth proportional to 31,711.84, 43,760.40 and 17,563.84 is: 24,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.84 : 43,760.40 = 17,563.84 : x
  2. Step 2: Convert to fraction form
    31,711.84/43,760.40 = 17,563.84/x
  3. Step 3: Cross multiply
    31,711.84x = 43,760.40 × 17,563.84
  4. Step 4: Simplify right side
    31,711.84x = 768,600,663.94
  5. Step 5: Solve for x
    x = 768,600,663.94/31,711.84
  6. Step 6: Final answer
    x = 24,237.03

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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.