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Finding the Fourth Proportional to 13,757.38, 20,635.89 and 4,992.28

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Solution

The fourth proportional to 13,757.38, 20,635.89 and 4,992.28 is: 7,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.38 : 20,635.89 = 4,992.28 : x
  2. Step 2: Convert to fraction form
    13,757.38/20,635.89 = 4,992.28/x
  3. Step 3: Cross multiply
    13,757.38x = 20,635.89 × 4,992.28
  4. Step 4: Simplify right side
    13,757.38x = 103,020,140.93
  5. Step 5: Solve for x
    x = 103,020,140.93/13,757.38
  6. Step 6: Final answer
    x = 7,488.35

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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.