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Finding the Fourth Proportional to 12,146.66, 18,229.89 and 6,304.94

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Solution

The fourth proportional to 12,146.66, 18,229.89 and 6,304.94 is: 9,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.66 : 18,229.89 = 6,304.94 : x
  2. Step 2: Convert to fraction form
    12,146.66/18,229.89 = 6,304.94/x
  3. Step 3: Cross multiply
    12,146.66x = 18,229.89 × 6,304.94
  4. Step 4: Simplify right side
    12,146.66x = 114,938,362.66
  5. Step 5: Solve for x
    x = 114,938,362.66/12,146.66
  6. Step 6: Final answer
    x = 9,462.55

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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.