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Finding the Fourth Proportional to 16,520.64, 22,798.26 and 8,967

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Solution

The fourth proportional to 16,520.64, 22,798.26 and 8,967 is: 12,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.64 : 22,798.26 = 8,967 : x
  2. Step 2: Convert to fraction form
    16,520.64/22,798.26 = 8,967/x
  3. Step 3: Cross multiply
    16,520.64x = 22,798.26 × 8,967
  4. Step 4: Simplify right side
    16,520.64x = 204,431,997.42
  5. Step 5: Solve for x
    x = 204,431,997.42/16,520.64
  6. Step 6: Final answer
    x = 12,374.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.