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Finding the Fourth Proportional to 16,286.52, 22,475.84 and 9,214

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Solution

The fourth proportional to 16,286.52, 22,475.84 and 9,214 is: 12,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.52 : 22,475.84 = 9,214 : x
  2. Step 2: Convert to fraction form
    16,286.52/22,475.84 = 9,214/x
  3. Step 3: Cross multiply
    16,286.52x = 22,475.84 × 9,214
  4. Step 4: Simplify right side
    16,286.52x = 207,092,389.76
  5. Step 5: Solve for x
    x = 207,092,389.76/16,286.52
  6. Step 6: Final answer
    x = 12,715.57

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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.