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Finding the Fourth Proportional to 12,466.38, 18,694.08 and 4,669.71

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Solution

The fourth proportional to 12,466.38, 18,694.08 and 4,669.71 is: 7,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.38 : 18,694.08 = 4,669.71 : x
  2. Step 2: Convert to fraction form
    12,466.38/18,694.08 = 4,669.71/x
  3. Step 3: Cross multiply
    12,466.38x = 18,694.08 × 4,669.71
  4. Step 4: Simplify right side
    12,466.38x = 87,295,932.32
  5. Step 5: Solve for x
    x = 87,295,932.32/12,466.38
  6. Step 6: Final answer
    x = 7,002.51

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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.