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Finding the Fourth Proportional to 20,205.84, 30,311.50 and 7,055.12

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Solution

The fourth proportional to 20,205.84, 30,311.50 and 7,055.12 is: 10,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.84 : 30,311.50 = 7,055.12 : x
  2. Step 2: Convert to fraction form
    20,205.84/30,311.50 = 7,055.12/x
  3. Step 3: Cross multiply
    20,205.84x = 30,311.50 × 7,055.12
  4. Step 4: Simplify right side
    20,205.84x = 213,851,269.88
  5. Step 5: Solve for x
    x = 213,851,269.88/20,205.84
  6. Step 6: Final answer
    x = 10,583.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.