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Finding the Fourth Proportional to 31,538.80, 43,524 and 17,391.64

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Solution

The fourth proportional to 31,538.80, 43,524 and 17,391.64 is: 24,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.80 : 43,524 = 17,391.64 : x
  2. Step 2: Convert to fraction form
    31,538.80/43,524 = 17,391.64/x
  3. Step 3: Cross multiply
    31,538.80x = 43,524 × 17,391.64
  4. Step 4: Simplify right side
    31,538.80x = 756,953,739.36
  5. Step 5: Solve for x
    x = 756,953,739.36/31,538.80
  6. Step 6: Final answer
    x = 24,000.71

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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.