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Finding the Fourth Proportional to 16,414.02, 22,650.84 and 8,962.02

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Solution

The fourth proportional to 16,414.02, 22,650.84 and 8,962.02 is: 12,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.02 : 22,650.84 = 8,962.02 : x
  2. Step 2: Convert to fraction form
    16,414.02/22,650.84 = 8,962.02/x
  3. Step 3: Cross multiply
    16,414.02x = 22,650.84 × 8,962.02
  4. Step 4: Simplify right side
    16,414.02x = 202,997,281.10
  5. Step 5: Solve for x
    x = 202,997,281.10/16,414.02
  6. Step 6: Final answer
    x = 12,367.31

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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.