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Finding the Fourth Proportional to 31,633.66, 43,654.71 and 17,486.74

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Solution

The fourth proportional to 31,633.66, 43,654.71 and 17,486.74 is: 24,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.66 : 43,654.71 = 17,486.74 : x
  2. Step 2: Convert to fraction form
    31,633.66/43,654.71 = 17,486.74/x
  3. Step 3: Cross multiply
    31,633.66x = 43,654.71 × 17,486.74
  4. Step 4: Simplify right side
    31,633.66x = 763,378,563.55
  5. Step 5: Solve for x
    x = 763,378,563.55/31,633.66
  6. Step 6: Final answer
    x = 24,131.84

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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.