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Finding the Fourth Proportional to 31,713.68, 43,766.04 and 17,567.84

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Solution

The fourth proportional to 31,713.68, 43,766.04 and 17,567.84 is: 24,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.68 : 43,766.04 = 17,567.84 : x
  2. Step 2: Convert to fraction form
    31,713.68/43,766.04 = 17,567.84/x
  3. Step 3: Cross multiply
    31,713.68x = 43,766.04 × 17,567.84
  4. Step 4: Simplify right side
    31,713.68x = 768,874,788.15
  5. Step 5: Solve for x
    x = 768,874,788.15/31,713.68
  6. Step 6: Final answer
    x = 24,244.26

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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.