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Finding the Fourth Proportional to 31,634.68, 43,654.14 and 17,486.68

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Solution

The fourth proportional to 31,634.68, 43,654.14 and 17,486.68 is: 24,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.68 : 43,654.14 = 17,486.68 : x
  2. Step 2: Convert to fraction form
    31,634.68/43,654.14 = 17,486.68/x
  3. Step 3: Cross multiply
    31,634.68x = 43,654.14 × 17,486.68
  4. Step 4: Simplify right side
    31,634.68x = 763,365,976.86
  5. Step 5: Solve for x
    x = 763,365,976.86/31,634.68
  6. Step 6: Final answer
    x = 24,130.67

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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.