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Finding the Fourth Proportional to 17,964.08, 24,790.42 and 10,414.78

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Solution

The fourth proportional to 17,964.08, 24,790.42 and 10,414.78 is: 14,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.08 : 24,790.42 = 10,414.78 : x
  2. Step 2: Convert to fraction form
    17,964.08/24,790.42 = 10,414.78/x
  3. Step 3: Cross multiply
    17,964.08x = 24,790.42 × 10,414.78
  4. Step 4: Simplify right side
    17,964.08x = 258,186,770.41
  5. Step 5: Solve for x
    x = 258,186,770.41/17,964.08
  6. Step 6: Final answer
    x = 14,372.39

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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.