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Finding the Fourth Proportional to 16,538.38, 24,807.97 and 4,226.38

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Solution

The fourth proportional to 16,538.38, 24,807.97 and 4,226.38 is: 6,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.38 : 24,807.97 = 4,226.38 : x
  2. Step 2: Convert to fraction form
    16,538.38/24,807.97 = 4,226.38/x
  3. Step 3: Cross multiply
    16,538.38x = 24,807.97 × 4,226.38
  4. Step 4: Simplify right side
    16,538.38x = 104,847,908.25
  5. Step 5: Solve for x
    x = 104,847,908.25/16,538.38
  6. Step 6: Final answer
    x = 6,339.67

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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.