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Finding the Fourth Proportional to 12,464.46, 18,687.46 and 7,532.94

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Solution

The fourth proportional to 12,464.46, 18,687.46 and 7,532.94 is: 11,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.46 : 18,687.46 = 7,532.94 : x
  2. Step 2: Convert to fraction form
    12,464.46/18,687.46 = 7,532.94/x
  3. Step 3: Cross multiply
    12,464.46x = 18,687.46 × 7,532.94
  4. Step 4: Simplify right side
    12,464.46x = 140,771,514.93
  5. Step 5: Solve for x
    x = 140,771,514.93/12,464.46
  6. Step 6: Final answer
    x = 11,293.83

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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.