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Finding the Fourth Proportional to 17,537.40, 26,297.40 and 6,443.64

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Solution

The fourth proportional to 17,537.40, 26,297.40 and 6,443.64 is: 9,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.40 : 26,297.40 = 6,443.64 : x
  2. Step 2: Convert to fraction form
    17,537.40/26,297.40 = 6,443.64/x
  3. Step 3: Cross multiply
    17,537.40x = 26,297.40 × 6,443.64
  4. Step 4: Simplify right side
    17,537.40x = 169,450,978.54
  5. Step 5: Solve for x
    x = 169,450,978.54/17,537.40
  6. Step 6: Final answer
    x = 9,662.26

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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.