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Finding the Fourth Proportional to 17,821.30, 24,594.54 and 10,267.49

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Solution

The fourth proportional to 17,821.30, 24,594.54 and 10,267.49 is: 14,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.30 : 24,594.54 = 10,267.49 : x
  2. Step 2: Convert to fraction form
    17,821.30/24,594.54 = 10,267.49/x
  3. Step 3: Cross multiply
    17,821.30x = 24,594.54 × 10,267.49
  4. Step 4: Simplify right side
    17,821.30x = 252,524,216.49
  5. Step 5: Solve for x
    x = 252,524,216.49/17,821.30
  6. Step 6: Final answer
    x = 14,169.80

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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.