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Finding the Fourth Proportional to 17,286.84, 23,857.20 and 15,946.56

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Solution

The fourth proportional to 17,286.84, 23,857.20 and 15,946.56 is: 22,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.84 : 23,857.20 = 15,946.56 : x
  2. Step 2: Convert to fraction form
    17,286.84/23,857.20 = 15,946.56/x
  3. Step 3: Cross multiply
    17,286.84x = 23,857.20 × 15,946.56
  4. Step 4: Simplify right side
    17,286.84x = 380,440,271.23
  5. Step 5: Solve for x
    x = 380,440,271.23/17,286.84
  6. Step 6: Final answer
    x = 22,007.51

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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.