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Finding the Fourth Proportional to 17,759.25, 24,516.57 and 13,924.16

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Solution

The fourth proportional to 17,759.25, 24,516.57 and 13,924.16 is: 19,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.25 : 24,516.57 = 13,924.16 : x
  2. Step 2: Convert to fraction form
    17,759.25/24,516.57 = 13,924.16/x
  3. Step 3: Cross multiply
    17,759.25x = 24,516.57 × 13,924.16
  4. Step 4: Simplify right side
    17,759.25x = 341,372,520.75
  5. Step 5: Solve for x
    x = 341,372,520.75/17,759.25
  6. Step 6: Final answer
    x = 19,222.24

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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.