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Finding the Fourth Proportional to 17,451.75, 24,083.10 and 9,493.86

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Solution

The fourth proportional to 17,451.75, 24,083.10 and 9,493.86 is: 13,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451.75 : 24,083.10 = 9,493.86 : x
  2. Step 2: Convert to fraction form
    17,451.75/24,083.10 = 9,493.86/x
  3. Step 3: Cross multiply
    17,451.75x = 24,083.10 × 9,493.86
  4. Step 4: Simplify right side
    17,451.75x = 228,641,579.77
  5. Step 5: Solve for x
    x = 228,641,579.77/17,451.75
  6. Step 6: Final answer
    x = 13,101.36

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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.