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Finding the Fourth Proportional to 13,956.50, 19,265.03 and 9,242.30

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Solution

The fourth proportional to 13,956.50, 19,265.03 and 9,242.30 is: 12,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.50 : 19,265.03 = 9,242.30 : x
  2. Step 2: Convert to fraction form
    13,956.50/19,265.03 = 9,242.30/x
  3. Step 3: Cross multiply
    13,956.50x = 19,265.03 × 9,242.30
  4. Step 4: Simplify right side
    13,956.50x = 178,053,044.23
  5. Step 5: Solve for x
    x = 178,053,044.23/13,956.50
  6. Step 6: Final answer
    x = 12,757.72

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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.