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Finding the Fourth Proportional to 17,544.72, 26,314.92 and 7,682.16

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Solution

The fourth proportional to 17,544.72, 26,314.92 and 7,682.16 is: 11,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544.72 : 26,314.92 = 7,682.16 : x
  2. Step 2: Convert to fraction form
    17,544.72/26,314.92 = 7,682.16/x
  3. Step 3: Cross multiply
    17,544.72x = 26,314.92 × 7,682.16
  4. Step 4: Simplify right side
    17,544.72x = 202,155,425.83
  5. Step 5: Solve for x
    x = 202,155,425.83/17,544.72
  6. Step 6: Final answer
    x = 11,522.29

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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.