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Finding the Fourth Proportional to 16,502, 22,772.76 and 9,050

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Solution

The fourth proportional to 16,502, 22,772.76 and 9,050 is: 12,489

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502 : 22,772.76 = 9,050 : x
  2. Step 2: Convert to fraction form
    16,502/22,772.76 = 9,050/x
  3. Step 3: Cross multiply
    16,502x = 22,772.76 × 9,050
  4. Step 4: Simplify right side
    16,502x = 206,093,478
  5. Step 5: Solve for x
    x = 206,093,478/16,502
  6. Step 6: Final answer
    x = 12,489

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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.