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Finding the Fourth Proportional to 17,684.97, 24,404.34 and 9,725.64

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Solution

The fourth proportional to 17,684.97, 24,404.34 and 9,725.64 is: 13,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.97 : 24,404.34 = 9,725.64 : x
  2. Step 2: Convert to fraction form
    17,684.97/24,404.34 = 9,725.64/x
  3. Step 3: Cross multiply
    17,684.97x = 24,404.34 × 9,725.64
  4. Step 4: Simplify right side
    17,684.97x = 237,347,825.28
  5. Step 5: Solve for x
    x = 237,347,825.28/17,684.97
  6. Step 6: Final answer
    x = 13,420.88

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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.