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Finding the Fourth Proportional to 17,632.62, 24,333.21 and 10,078.83

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Solution

The fourth proportional to 17,632.62, 24,333.21 and 10,078.83 is: 13,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.62 : 24,333.21 = 10,078.83 : x
  2. Step 2: Convert to fraction form
    17,632.62/24,333.21 = 10,078.83/x
  3. Step 3: Cross multiply
    17,632.62x = 24,333.21 × 10,078.83
  4. Step 4: Simplify right side
    17,632.62x = 245,250,286.94
  5. Step 5: Solve for x
    x = 245,250,286.94/17,632.62
  6. Step 6: Final answer
    x = 13,908.90

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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.