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Finding the Fourth Proportional to 14,658.27, 20,226.90 and 8,284.50

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Solution

The fourth proportional to 14,658.27, 20,226.90 and 8,284.50 is: 11,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.27 : 20,226.90 = 8,284.50 : x
  2. Step 2: Convert to fraction form
    14,658.27/20,226.90 = 8,284.50/x
  3. Step 3: Cross multiply
    14,658.27x = 20,226.90 × 8,284.50
  4. Step 4: Simplify right side
    14,658.27x = 167,569,753.05
  5. Step 5: Solve for x
    x = 167,569,753.05/14,658.27
  6. Step 6: Final answer
    x = 11,431.76

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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.