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Finding the Fourth Proportional to 17,840, 24,620.88 and 10,286.48

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Solution

The fourth proportional to 17,840, 24,620.88 and 10,286.48 is: 14,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840 : 24,620.88 = 10,286.48 : x
  2. Step 2: Convert to fraction form
    17,840/24,620.88 = 10,286.48/x
  3. Step 3: Cross multiply
    17,840x = 24,620.88 × 10,286.48
  4. Step 4: Simplify right side
    17,840x = 253,262,189.70
  5. Step 5: Solve for x
    x = 253,262,189.70/17,840
  6. Step 6: Final answer
    x = 14,196.31

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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.