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Finding the Fourth Proportional to 13,674.30, 20,520.08 and 7,842.30

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Solution

The fourth proportional to 13,674.30, 20,520.08 and 7,842.30 is: 11,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.30 : 20,520.08 = 7,842.30 : x
  2. Step 2: Convert to fraction form
    13,674.30/20,520.08 = 7,842.30/x
  3. Step 3: Cross multiply
    13,674.30x = 20,520.08 × 7,842.30
  4. Step 4: Simplify right side
    13,674.30x = 160,924,623.38
  5. Step 5: Solve for x
    x = 160,924,623.38/13,674.30
  6. Step 6: Final answer
    x = 11,768.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.