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Finding the Fourth Proportional to 12,165.90, 18,234.45 and 9,084.30

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Solution

The fourth proportional to 12,165.90, 18,234.45 and 9,084.30 is: 13,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.90 : 18,234.45 = 9,084.30 : x
  2. Step 2: Convert to fraction form
    12,165.90/18,234.45 = 9,084.30/x
  3. Step 3: Cross multiply
    12,165.90x = 18,234.45 × 9,084.30
  4. Step 4: Simplify right side
    12,165.90x = 165,647,214.14
  5. Step 5: Solve for x
    x = 165,647,214.14/12,165.90
  6. Step 6: Final answer
    x = 13,615.70

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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.