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Finding the Fourth Proportional to 17,286.40, 23,854.26 and 10,213.48

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Solution

The fourth proportional to 17,286.40, 23,854.26 and 10,213.48 is: 14,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.40 : 23,854.26 = 10,213.48 : x
  2. Step 2: Convert to fraction form
    17,286.40/23,854.26 = 10,213.48/x
  3. Step 3: Cross multiply
    17,286.40x = 23,854.26 × 10,213.48
  4. Step 4: Simplify right side
    17,286.40x = 243,635,007.42
  5. Step 5: Solve for x
    x = 243,635,007.42/17,286.40
  6. Step 6: Final answer
    x = 14,094.03

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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.