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Finding the Fourth Proportional to 17,821, 24,586.97 and 10,267.13

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Solution

The fourth proportional to 17,821, 24,586.97 and 10,267.13 is: 14,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821 : 24,586.97 = 10,267.13 : x
  2. Step 2: Convert to fraction form
    17,821/24,586.97 = 10,267.13/x
  3. Step 3: Cross multiply
    17,821x = 24,586.97 × 10,267.13
  4. Step 4: Simplify right side
    17,821x = 252,437,627.43
  5. Step 5: Solve for x
    x = 252,437,627.43/17,821
  6. Step 6: Final answer
    x = 14,165.18

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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.