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Finding the Fourth Proportional to 20,297.84, 30,446.76 and 5,506.70

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Solution

The fourth proportional to 20,297.84, 30,446.76 and 5,506.70 is: 8,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.84 : 30,446.76 = 5,506.70 : x
  2. Step 2: Convert to fraction form
    20,297.84/30,446.76 = 5,506.70/x
  3. Step 3: Cross multiply
    20,297.84x = 30,446.76 × 5,506.70
  4. Step 4: Simplify right side
    20,297.84x = 167,661,173.29
  5. Step 5: Solve for x
    x = 167,661,173.29/20,297.84
  6. Step 6: Final answer
    x = 8,260.05

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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.