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Finding the Fourth Proportional to 17,537.31, 26,314.81 and 7,676.64

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Solution

The fourth proportional to 17,537.31, 26,314.81 and 7,676.64 is: 11,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.31 : 26,314.81 = 7,676.64 : x
  2. Step 2: Convert to fraction form
    17,537.31/26,314.81 = 7,676.64/x
  3. Step 3: Cross multiply
    17,537.31x = 26,314.81 × 7,676.64
  4. Step 4: Simplify right side
    17,537.31x = 202,009,303.85
  5. Step 5: Solve for x
    x = 202,009,303.85/17,537.31
  6. Step 6: Final answer
    x = 11,518.83

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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.