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Finding the Fourth Proportional to 17,177.50, 23,704.96 and 9,725.50

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Solution

The fourth proportional to 17,177.50, 23,704.96 and 9,725.50 is: 13,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.50 : 23,704.96 = 9,725.50 : x
  2. Step 2: Convert to fraction form
    17,177.50/23,704.96 = 9,725.50/x
  3. Step 3: Cross multiply
    17,177.50x = 23,704.96 × 9,725.50
  4. Step 4: Simplify right side
    17,177.50x = 230,542,539.85
  5. Step 5: Solve for x
    x = 230,542,539.85/17,177.50
  6. Step 6: Final answer
    x = 13,421.19

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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.