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Finding the Fourth Proportional to 16,772.84, 23,146.72 and 9,219.12

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Solution

The fourth proportional to 16,772.84, 23,146.72 and 9,219.12 is: 12,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.84 : 23,146.72 = 9,219.12 : x
  2. Step 2: Convert to fraction form
    16,772.84/23,146.72 = 9,219.12/x
  3. Step 3: Cross multiply
    16,772.84x = 23,146.72 × 9,219.12
  4. Step 4: Simplify right side
    16,772.84x = 213,392,285.92
  5. Step 5: Solve for x
    x = 213,392,285.92/16,772.84
  6. Step 6: Final answer
    x = 12,722.49

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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.