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Finding the Fourth Proportional to 17,964.60, 24,791.20 and 10,412.40

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Solution

The fourth proportional to 17,964.60, 24,791.20 and 10,412.40 is: 14,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.60 : 24,791.20 = 10,412.40 : x
  2. Step 2: Convert to fraction form
    17,964.60/24,791.20 = 10,412.40/x
  3. Step 3: Cross multiply
    17,964.60x = 24,791.20 × 10,412.40
  4. Step 4: Simplify right side
    17,964.60x = 258,135,890.88
  5. Step 5: Solve for x
    x = 258,135,890.88/17,964.60
  6. Step 6: Final answer
    x = 14,369.14

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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.