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Finding the Fourth Proportional to 16,506.82, 22,772.04 and 9,792.73

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Solution

The fourth proportional to 16,506.82, 22,772.04 and 9,792.73 is: 13,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.82 : 22,772.04 = 9,792.73 : x
  2. Step 2: Convert to fraction form
    16,506.82/22,772.04 = 9,792.73/x
  3. Step 3: Cross multiply
    16,506.82x = 22,772.04 × 9,792.73
  4. Step 4: Simplify right side
    16,506.82x = 223,000,439.27
  5. Step 5: Solve for x
    x = 223,000,439.27/16,506.82
  6. Step 6: Final answer
    x = 13,509.59

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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.