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Finding the Fourth Proportional to 17,433.92, 24,068 and 14,743.92

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Solution

The fourth proportional to 17,433.92, 24,068 and 14,743.92 is: 20,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433.92 : 24,068 = 14,743.92 : x
  2. Step 2: Convert to fraction form
    17,433.92/24,068 = 14,743.92/x
  3. Step 3: Cross multiply
    17,433.92x = 24,068 × 14,743.92
  4. Step 4: Simplify right side
    17,433.92x = 354,856,666.56
  5. Step 5: Solve for x
    x = 354,856,666.56/17,433.92
  6. Step 6: Final answer
    x = 20,354.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.