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Finding the Fourth Proportional to 17,447.23, 24,077.68 and 9,489.97

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Solution

The fourth proportional to 17,447.23, 24,077.68 and 9,489.97 is: 13,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.23 : 24,077.68 = 9,489.97 : x
  2. Step 2: Convert to fraction form
    17,447.23/24,077.68 = 9,489.97/x
  3. Step 3: Cross multiply
    17,447.23x = 24,077.68 × 9,489.97
  4. Step 4: Simplify right side
    17,447.23x = 228,496,460.87
  5. Step 5: Solve for x
    x = 228,496,460.87/17,447.23
  6. Step 6: Final answer
    x = 13,096.43

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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.