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Finding the Fourth Proportional to 17,765.49, 24,517.17 and 10,214.27

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Solution

The fourth proportional to 17,765.49, 24,517.17 and 10,214.27 is: 14,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.49 : 24,517.17 = 10,214.27 : x
  2. Step 2: Convert to fraction form
    17,765.49/24,517.17 = 10,214.27/x
  3. Step 3: Cross multiply
    17,765.49x = 24,517.17 × 10,214.27
  4. Step 4: Simplify right side
    17,765.49x = 250,424,994.02
  5. Step 5: Solve for x
    x = 250,424,994.02/17,765.49
  6. Step 6: Final answer
    x = 14,096.15

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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.