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Finding the Fourth Proportional to 17,497.88, 24,147.15 and 11,213.90

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Solution

The fourth proportional to 17,497.88, 24,147.15 and 11,213.90 is: 15,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.88 : 24,147.15 = 11,213.90 : x
  2. Step 2: Convert to fraction form
    17,497.88/24,147.15 = 11,213.90/x
  3. Step 3: Cross multiply
    17,497.88x = 24,147.15 × 11,213.90
  4. Step 4: Simplify right side
    17,497.88x = 270,783,725.39
  5. Step 5: Solve for x
    x = 270,783,725.39/17,497.88
  6. Step 6: Final answer
    x = 15,475.23

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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.