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Finding the Fourth Proportional to 24,226.40, 36,296.40 and 20,770.40

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Solution

The fourth proportional to 24,226.40, 36,296.40 and 20,770.40 is: 31,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.40 : 36,296.40 = 20,770.40 : x
  2. Step 2: Convert to fraction form
    24,226.40/36,296.40 = 20,770.40/x
  3. Step 3: Cross multiply
    24,226.40x = 36,296.40 × 20,770.40
  4. Step 4: Simplify right side
    24,226.40x = 753,890,746.56
  5. Step 5: Solve for x
    x = 753,890,746.56/24,226.40
  6. Step 6: Final answer
    x = 31,118.56

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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.