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Finding the Fourth Proportional to 12,304.46, 18,464.85 and 6,761.68

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Solution

The fourth proportional to 12,304.46, 18,464.85 and 6,761.68 is: 10,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.46 : 18,464.85 = 6,761.68 : x
  2. Step 2: Convert to fraction form
    12,304.46/18,464.85 = 6,761.68/x
  3. Step 3: Cross multiply
    12,304.46x = 18,464.85 × 6,761.68
  4. Step 4: Simplify right side
    12,304.46x = 124,853,360.79
  5. Step 5: Solve for x
    x = 124,853,360.79/12,304.46
  6. Step 6: Final answer
    x = 10,147.00

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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.