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Finding the Fourth Proportional to 17,821.63, 24,595.68 and 10,268.25

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Solution

The fourth proportional to 17,821.63, 24,595.68 and 10,268.25 is: 14,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.63 : 24,595.68 = 10,268.25 : x
  2. Step 2: Convert to fraction form
    17,821.63/24,595.68 = 10,268.25/x
  3. Step 3: Cross multiply
    17,821.63x = 24,595.68 × 10,268.25
  4. Step 4: Simplify right side
    17,821.63x = 252,554,468.18
  5. Step 5: Solve for x
    x = 252,554,468.18/17,821.63
  6. Step 6: Final answer
    x = 14,171.23

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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.