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Finding the Fourth Proportional to 11,654.98, 17,443.68 and 10,617.37

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Solution

The fourth proportional to 11,654.98, 17,443.68 and 10,617.37 is: 15,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.98 : 17,443.68 = 10,617.37 : x
  2. Step 2: Convert to fraction form
    11,654.98/17,443.68 = 10,617.37/x
  3. Step 3: Cross multiply
    11,654.98x = 17,443.68 × 10,617.37
  4. Step 4: Simplify right side
    11,654.98x = 185,206,004.72
  5. Step 5: Solve for x
    x = 185,206,004.72/11,654.98
  6. Step 6: Final answer
    x = 15,890.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.