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Finding the Fourth Proportional to 12,146.16, 18,229.14 and 6,304.44

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Solution

The fourth proportional to 12,146.16, 18,229.14 and 6,304.44 is: 9,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.16 : 18,229.14 = 6,304.44 : x
  2. Step 2: Convert to fraction form
    12,146.16/18,229.14 = 6,304.44/x
  3. Step 3: Cross multiply
    12,146.16x = 18,229.14 × 6,304.44
  4. Step 4: Simplify right side
    12,146.16x = 114,924,519.38
  5. Step 5: Solve for x
    x = 114,924,519.38/12,146.16
  6. Step 6: Final answer
    x = 9,461.80

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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.