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Finding the Fourth Proportional to 16,274.56, 22,458.84 and 8,822.56

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Solution

The fourth proportional to 16,274.56, 22,458.84 and 8,822.56 is: 12,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.56 : 22,458.84 = 8,822.56 : x
  2. Step 2: Convert to fraction form
    16,274.56/22,458.84 = 8,822.56/x
  3. Step 3: Cross multiply
    16,274.56x = 22,458.84 × 8,822.56
  4. Step 4: Simplify right side
    16,274.56x = 198,144,463.43
  5. Step 5: Solve for x
    x = 198,144,463.43/16,274.56
  6. Step 6: Final answer
    x = 12,175.10

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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.