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Finding the Fourth Proportional to 22,651.08, 33,938.23 and 13,867.64

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Solution

The fourth proportional to 22,651.08, 33,938.23 and 13,867.64 is: 20,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.08 : 33,938.23 = 13,867.64 : x
  2. Step 2: Convert to fraction form
    22,651.08/33,938.23 = 13,867.64/x
  3. Step 3: Cross multiply
    22,651.08x = 33,938.23 × 13,867.64
  4. Step 4: Simplify right side
    22,651.08x = 470,643,155.88
  5. Step 5: Solve for x
    x = 470,643,155.88/22,651.08
  6. Step 6: Final answer
    x = 20,777.96

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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.