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Finding the Fourth Proportional to 13,520.28, 18,654.78 and 8,214.78

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Solution

The fourth proportional to 13,520.28, 18,654.78 and 8,214.78 is: 11,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.28 : 18,654.78 = 8,214.78 : x
  2. Step 2: Convert to fraction form
    13,520.28/18,654.78 = 8,214.78/x
  3. Step 3: Cross multiply
    13,520.28x = 18,654.78 × 8,214.78
  4. Step 4: Simplify right side
    13,520.28x = 153,244,913.65
  5. Step 5: Solve for x
    x = 153,244,913.65/13,520.28
  6. Step 6: Final answer
    x = 11,334.45

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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.