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Finding the Fourth Proportional to 17,821.32, 24,593.09 and 10,267.61

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Solution

The fourth proportional to 17,821.32, 24,593.09 and 10,267.61 is: 14,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.32 : 24,593.09 = 10,267.61 : x
  2. Step 2: Convert to fraction form
    17,821.32/24,593.09 = 10,267.61/x
  3. Step 3: Cross multiply
    17,821.32x = 24,593.09 × 10,267.61
  4. Step 4: Simplify right side
    17,821.32x = 252,512,082.51
  5. Step 5: Solve for x
    x = 252,512,082.51/17,821.32
  6. Step 6: Final answer
    x = 14,169.10

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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.