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Finding the Fourth Proportional to 16,538.55, 24,807.90 and 8,216.61

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Solution

The fourth proportional to 16,538.55, 24,807.90 and 8,216.61 is: 12,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.55 : 24,807.90 = 8,216.61 : x
  2. Step 2: Convert to fraction form
    16,538.55/24,807.90 = 8,216.61/x
  3. Step 3: Cross multiply
    16,538.55x = 24,807.90 × 8,216.61
  4. Step 4: Simplify right side
    16,538.55x = 203,836,839.22
  5. Step 5: Solve for x
    x = 203,836,839.22/16,538.55
  6. Step 6: Final answer
    x = 12,324.95

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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.