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Finding the Fourth Proportional to 16,367.25, 22,586.81 and 8,915.25

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Solution

The fourth proportional to 16,367.25, 22,586.81 and 8,915.25 is: 12,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.25 : 22,586.81 = 8,915.25 : x
  2. Step 2: Convert to fraction form
    16,367.25/22,586.81 = 8,915.25/x
  3. Step 3: Cross multiply
    16,367.25x = 22,586.81 × 8,915.25
  4. Step 4: Simplify right side
    16,367.25x = 201,367,057.85
  5. Step 5: Solve for x
    x = 201,367,057.85/16,367.25
  6. Step 6: Final answer
    x = 12,303.05

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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.