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Finding the Fourth Proportional to 17,474.56, 24,114.56 and 9,516.48

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Solution

The fourth proportional to 17,474.56, 24,114.56 and 9,516.48 is: 13,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.56 : 24,114.56 = 9,516.48 : x
  2. Step 2: Convert to fraction form
    17,474.56/24,114.56 = 9,516.48/x
  3. Step 3: Cross multiply
    17,474.56x = 24,114.56 × 9,516.48
  4. Step 4: Simplify right side
    17,474.56x = 229,485,727.95
  5. Step 5: Solve for x
    x = 229,485,727.95/17,474.56
  6. Step 6: Final answer
    x = 13,132.56

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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.