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Finding the Fourth Proportional to 16,414.64, 22,652.16 and 8,962.64

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Solution

The fourth proportional to 16,414.64, 22,652.16 and 8,962.64 is: 12,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.64 : 22,652.16 = 8,962.64 : x
  2. Step 2: Convert to fraction form
    16,414.64/22,652.16 = 8,962.64/x
  3. Step 3: Cross multiply
    16,414.64x = 22,652.16 × 8,962.64
  4. Step 4: Simplify right side
    16,414.64x = 203,023,155.30
  5. Step 5: Solve for x
    x = 203,023,155.30/16,414.64
  6. Step 6: Final answer
    x = 12,368.42

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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.