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Finding the Fourth Proportional to 16,402, 22,634.76 and 8,950

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Solution

The fourth proportional to 16,402, 22,634.76 and 8,950 is: 12,351

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402 : 22,634.76 = 8,950 : x
  2. Step 2: Convert to fraction form
    16,402/22,634.76 = 8,950/x
  3. Step 3: Cross multiply
    16,402x = 22,634.76 × 8,950
  4. Step 4: Simplify right side
    16,402x = 202,581,102
  5. Step 5: Solve for x
    x = 202,581,102/16,402
  6. Step 6: Final answer
    x = 12,351

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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.