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Finding the Fourth Proportional to 20,535.84, 30,809.16 and 8,056.62

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Solution

The fourth proportional to 20,535.84, 30,809.16 and 8,056.62 is: 12,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.84 : 30,809.16 = 8,056.62 : x
  2. Step 2: Convert to fraction form
    20,535.84/30,809.16 = 8,056.62/x
  3. Step 3: Cross multiply
    20,535.84x = 30,809.16 × 8,056.62
  4. Step 4: Simplify right side
    20,535.84x = 248,217,694.64
  5. Step 5: Solve for x
    x = 248,217,694.64/20,535.84
  6. Step 6: Final answer
    x = 12,087.05

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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.