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Finding the Fourth Proportional to 17,821.38, 24,594.64 and 10,267.57

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Solution

The fourth proportional to 17,821.38, 24,594.64 and 10,267.57 is: 14,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.38 : 24,594.64 = 10,267.57 : x
  2. Step 2: Convert to fraction form
    17,821.38/24,594.64 = 10,267.57/x
  3. Step 3: Cross multiply
    17,821.38x = 24,594.64 × 10,267.57
  4. Step 4: Simplify right side
    17,821.38x = 252,527,187.82
  5. Step 5: Solve for x
    x = 252,527,187.82/17,821.38
  6. Step 6: Final answer
    x = 14,169.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.