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Finding the Fourth Proportional to 16,366.89, 22,586.31 and 8,914.89

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Solution

The fourth proportional to 16,366.89, 22,586.31 and 8,914.89 is: 12,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.89 : 22,586.31 = 8,914.89 : x
  2. Step 2: Convert to fraction form
    16,366.89/22,586.31 = 8,914.89/x
  3. Step 3: Cross multiply
    16,366.89x = 22,586.31 × 8,914.89
  4. Step 4: Simplify right side
    16,366.89x = 201,354,469.16
  5. Step 5: Solve for x
    x = 201,354,469.16/16,366.89
  6. Step 6: Final answer
    x = 12,302.55

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1.5x scale

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.