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Finding the Fourth Proportional to 17,686.77, 24,400.67 and 11,311.89

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Solution

The fourth proportional to 17,686.77, 24,400.67 and 11,311.89 is: 15,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.77 : 24,400.67 = 11,311.89 : x
  2. Step 2: Convert to fraction form
    17,686.77/24,400.67 = 11,311.89/x
  3. Step 3: Cross multiply
    17,686.77x = 24,400.67 × 11,311.89
  4. Step 4: Simplify right side
    17,686.77x = 276,017,694.97
  5. Step 5: Solve for x
    x = 276,017,694.97/17,686.77
  6. Step 6: Final answer
    x = 15,605.88

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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.