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Finding the Fourth Proportional to 17,546.04, 24,202.22 and 10,467

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Solution

The fourth proportional to 17,546.04, 24,202.22 and 10,467 is: 14,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.04 : 24,202.22 = 10,467 : x
  2. Step 2: Convert to fraction form
    17,546.04/24,202.22 = 10,467/x
  3. Step 3: Cross multiply
    17,546.04x = 24,202.22 × 10,467
  4. Step 4: Simplify right side
    17,546.04x = 253,324,636.74
  5. Step 5: Solve for x
    x = 253,324,636.74/17,546.04
  6. Step 6: Final answer
    x = 14,437.71

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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.