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Finding the Fourth Proportional to 20,189.80, 30,281.82 and 6,337

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Solution

The fourth proportional to 20,189.80, 30,281.82 and 6,337 is: 9,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.80 : 30,281.82 = 6,337 : x
  2. Step 2: Convert to fraction form
    20,189.80/30,281.82 = 6,337/x
  3. Step 3: Cross multiply
    20,189.80x = 30,281.82 × 6,337
  4. Step 4: Simplify right side
    20,189.80x = 191,895,893.34
  5. Step 5: Solve for x
    x = 191,895,893.34/20,189.80
  6. Step 6: Final answer
    x = 9,504.60

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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.