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Finding the Fourth Proportional to 12,443.91, 18,669.02 and 3,678.81

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Solution

The fourth proportional to 12,443.91, 18,669.02 and 3,678.81 is: 5,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.91 : 18,669.02 = 3,678.81 : x
  2. Step 2: Convert to fraction form
    12,443.91/18,669.02 = 3,678.81/x
  3. Step 3: Cross multiply
    12,443.91x = 18,669.02 × 3,678.81
  4. Step 4: Simplify right side
    12,443.91x = 68,679,759.07
  5. Step 5: Solve for x
    x = 68,679,759.07/12,443.91
  6. Step 6: Final answer
    x = 5,519.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.