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Finding the Fourth Proportional to 20,742.80, 31,068.82 and 20,286.24

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Solution

The fourth proportional to 20,742.80, 31,068.82 and 20,286.24 is: 30,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.80 : 31,068.82 = 20,286.24 : x
  2. Step 2: Convert to fraction form
    20,742.80/31,068.82 = 20,286.24/x
  3. Step 3: Cross multiply
    20,742.80x = 31,068.82 × 20,286.24
  4. Step 4: Simplify right side
    20,742.80x = 630,269,539.04
  5. Step 5: Solve for x
    x = 630,269,539.04/20,742.80
  6. Step 6: Final answer
    x = 30,384.98

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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.