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Finding the Fourth Proportional to 12,414, 18,623.43 and 5,488.50

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Solution

The fourth proportional to 12,414, 18,623.43 and 5,488.50 is: 8,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 18,623.43 = 5,488.50 : x
  2. Step 2: Convert to fraction form
    12,414/18,623.43 = 5,488.50/x
  3. Step 3: Cross multiply
    12,414x = 18,623.43 × 5,488.50
  4. Step 4: Simplify right side
    12,414x = 102,214,695.56
  5. Step 5: Solve for x
    x = 102,214,695.56/12,414
  6. Step 6: Final answer
    x = 8,233.82

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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.