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Finding the Fourth Proportional to 17,447.82, 24,076.80 and 9,489.87

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Solution

The fourth proportional to 17,447.82, 24,076.80 and 9,489.87 is: 13,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.82 : 24,076.80 = 9,489.87 : x
  2. Step 2: Convert to fraction form
    17,447.82/24,076.80 = 9,489.87/x
  3. Step 3: Cross multiply
    17,447.82x = 24,076.80 × 9,489.87
  4. Step 4: Simplify right side
    17,447.82x = 228,485,702.02
  5. Step 5: Solve for x
    x = 228,485,702.02/17,447.82
  6. Step 6: Final answer
    x = 13,095.37

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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.