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Finding the Fourth Proportional to 17,765.40, 24,517.44 and 10,214.22

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Solution

The fourth proportional to 17,765.40, 24,517.44 and 10,214.22 is: 14,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.40 : 24,517.44 = 10,214.22 : x
  2. Step 2: Convert to fraction form
    17,765.40/24,517.44 = 10,214.22/x
  3. Step 3: Cross multiply
    17,765.40x = 24,517.44 × 10,214.22
  4. Step 4: Simplify right side
    17,765.40x = 250,426,526.00
  5. Step 5: Solve for x
    x = 250,426,526.00/17,765.40
  6. Step 6: Final answer
    x = 14,096.31

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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.