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Finding the Fourth Proportional to 14,705.27, 20,286.42 and 8,414

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Solution

The fourth proportional to 14,705.27, 20,286.42 and 8,414 is: 11,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.27 : 20,286.42 = 8,414 : x
  2. Step 2: Convert to fraction form
    14,705.27/20,286.42 = 8,414/x
  3. Step 3: Cross multiply
    14,705.27x = 20,286.42 × 8,414
  4. Step 4: Simplify right side
    14,705.27x = 170,689,937.88
  5. Step 5: Solve for x
    x = 170,689,937.88/14,705.27
  6. Step 6: Final answer
    x = 11,607.40

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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.