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Finding the Fourth Proportional to 16,538.66, 24,812.04 and 8,222.60

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Solution

The fourth proportional to 16,538.66, 24,812.04 and 8,222.60 is: 12,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.66 : 24,812.04 = 8,222.60 : x
  2. Step 2: Convert to fraction form
    16,538.66/24,812.04 = 8,222.60/x
  3. Step 3: Cross multiply
    16,538.66x = 24,812.04 × 8,222.60
  4. Step 4: Simplify right side
    16,538.66x = 204,019,480.10
  5. Step 5: Solve for x
    x = 204,019,480.10/16,538.66
  6. Step 6: Final answer
    x = 12,335.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.