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Finding the Fourth Proportional to 16,516.49, 22,792.56 and 8,962.83

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Solution

The fourth proportional to 16,516.49, 22,792.56 and 8,962.83 is: 12,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.49 : 22,792.56 = 8,962.83 : x
  2. Step 2: Convert to fraction form
    16,516.49/22,792.56 = 8,962.83/x
  3. Step 3: Cross multiply
    16,516.49x = 22,792.56 × 8,962.83
  4. Step 4: Simplify right side
    16,516.49x = 204,285,840.54
  5. Step 5: Solve for x
    x = 204,285,840.54/16,516.49
  6. Step 6: Final answer
    x = 12,368.60

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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.