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Finding the Fourth Proportional to 22,849.20, 31,461.80 and 20,000.64

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Solution

The fourth proportional to 22,849.20, 31,461.80 and 20,000.64 is: 27,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,849.20 : 31,461.80 = 20,000.64 : x
  2. Step 2: Convert to fraction form
    22,849.20/31,461.80 = 20,000.64/x
  3. Step 3: Cross multiply
    22,849.20x = 31,461.80 × 20,000.64
  4. Step 4: Simplify right side
    22,849.20x = 629,256,135.55
  5. Step 5: Solve for x
    x = 629,256,135.55/22,849.20
  6. Step 6: Final answer
    x = 27,539.53

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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.