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Finding the Fourth Proportional to 17,410.86, 24,003 and 11,665.98

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Solution

The fourth proportional to 17,410.86, 24,003 and 11,665.98 is: 16,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.86 : 24,003 = 11,665.98 : x
  2. Step 2: Convert to fraction form
    17,410.86/24,003 = 11,665.98/x
  3. Step 3: Cross multiply
    17,410.86x = 24,003 × 11,665.98
  4. Step 4: Simplify right side
    17,410.86x = 280,018,517.94
  5. Step 5: Solve for x
    x = 280,018,517.94/17,410.86
  6. Step 6: Final answer
    x = 16,082.98

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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.