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Finding the Fourth Proportional to 12,444.57, 18,668.70 and 3,678.33

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Solution

The fourth proportional to 12,444.57, 18,668.70 and 3,678.33 is: 5,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.57 : 18,668.70 = 3,678.33 : x
  2. Step 2: Convert to fraction form
    12,444.57/18,668.70 = 3,678.33/x
  3. Step 3: Cross multiply
    12,444.57x = 18,668.70 × 3,678.33
  4. Step 4: Simplify right side
    12,444.57x = 68,669,639.27
  5. Step 5: Solve for x
    x = 68,669,639.27/12,444.57
  6. Step 6: Final answer
    x = 5,518.04

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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.