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Finding the Fourth Proportional to 12,168, 18,253.17 and 5,596.02

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Solution

The fourth proportional to 12,168, 18,253.17 and 5,596.02 is: 8,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168 : 18,253.17 = 5,596.02 : x
  2. Step 2: Convert to fraction form
    12,168/18,253.17 = 5,596.02/x
  3. Step 3: Cross multiply
    12,168x = 18,253.17 × 5,596.02
  4. Step 4: Simplify right side
    12,168x = 102,145,104.38
  5. Step 5: Solve for x
    x = 102,145,104.38/12,168
  6. Step 6: Final answer
    x = 8,394.57

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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.