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Finding the Fourth Proportional to 13,757.70, 20,636.55 and 4,992.90

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Solution

The fourth proportional to 13,757.70, 20,636.55 and 4,992.90 is: 7,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.70 : 20,636.55 = 4,992.90 : x
  2. Step 2: Convert to fraction form
    13,757.70/20,636.55 = 4,992.90/x
  3. Step 3: Cross multiply
    13,757.70x = 20,636.55 × 4,992.90
  4. Step 4: Simplify right side
    13,757.70x = 103,036,230.50
  5. Step 5: Solve for x
    x = 103,036,230.50/13,757.70
  6. Step 6: Final answer
    x = 7,489.35

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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.