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Finding the Fourth Proportional to 13,956.62, 19,265.20 and 9,242.42

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Solution

The fourth proportional to 13,956.62, 19,265.20 and 9,242.42 is: 12,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.62 : 19,265.20 = 9,242.42 : x
  2. Step 2: Convert to fraction form
    13,956.62/19,265.20 = 9,242.42/x
  3. Step 3: Cross multiply
    13,956.62x = 19,265.20 × 9,242.42
  4. Step 4: Simplify right side
    13,956.62x = 178,057,069.78
  5. Step 5: Solve for x
    x = 178,057,069.78/13,956.62
  6. Step 6: Final answer
    x = 12,757.89

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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.