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Finding the Fourth Proportional to 17,725.23, 24,463.53 and 13,469.40

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Solution

The fourth proportional to 17,725.23, 24,463.53 and 13,469.40 is: 18,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.23 : 24,463.53 = 13,469.40 : x
  2. Step 2: Convert to fraction form
    17,725.23/24,463.53 = 13,469.40/x
  3. Step 3: Cross multiply
    17,725.23x = 24,463.53 × 13,469.40
  4. Step 4: Simplify right side
    17,725.23x = 329,509,070.98
  5. Step 5: Solve for x
    x = 329,509,070.98/17,725.23
  6. Step 6: Final answer
    x = 18,589.83

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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.