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Finding the Fourth Proportional to 17,447.54, 24,077.66 and 9,489.76

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Solution

The fourth proportional to 17,447.54, 24,077.66 and 9,489.76 is: 13,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.54 : 24,077.66 = 9,489.76 : x
  2. Step 2: Convert to fraction form
    17,447.54/24,077.66 = 9,489.76/x
  3. Step 3: Cross multiply
    17,447.54x = 24,077.66 × 9,489.76
  4. Step 4: Simplify right side
    17,447.54x = 228,491,107.12
  5. Step 5: Solve for x
    x = 228,491,107.12/17,447.54
  6. Step 6: Final answer
    x = 13,095.90

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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.