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Finding the Fourth Proportional to 16,226, 22,391.88 and 8,774

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Solution

The fourth proportional to 16,226, 22,391.88 and 8,774 is: 12,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226 : 22,391.88 = 8,774 : x
  2. Step 2: Convert to fraction form
    16,226/22,391.88 = 8,774/x
  3. Step 3: Cross multiply
    16,226x = 22,391.88 × 8,774
  4. Step 4: Simplify right side
    16,226x = 196,466,355.12
  5. Step 5: Solve for x
    x = 196,466,355.12/16,226
  6. Step 6: Final answer
    x = 12,108.12

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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.