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Finding the Fourth Proportional to 20,033.20, 29,977.80 and 14,849.20

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Solution

The fourth proportional to 20,033.20, 29,977.80 and 14,849.20 is: 22,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.20 : 29,977.80 = 14,849.20 : x
  2. Step 2: Convert to fraction form
    20,033.20/29,977.80 = 14,849.20/x
  3. Step 3: Cross multiply
    20,033.20x = 29,977.80 × 14,849.20
  4. Step 4: Simplify right side
    20,033.20x = 445,146,347.76
  5. Step 5: Solve for x
    x = 445,146,347.76/20,033.20
  6. Step 6: Final answer
    x = 22,220.43

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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.