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Finding the Fourth Proportional to 13,756.38, 20,634.39 and 4,991.28

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Solution

The fourth proportional to 13,756.38, 20,634.39 and 4,991.28 is: 7,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.38 : 20,634.39 = 4,991.28 : x
  2. Step 2: Convert to fraction form
    13,756.38/20,634.39 = 4,991.28/x
  3. Step 3: Cross multiply
    13,756.38x = 20,634.39 × 4,991.28
  4. Step 4: Simplify right side
    13,756.38x = 102,992,018.12
  5. Step 5: Solve for x
    x = 102,992,018.12/13,756.38
  6. Step 6: Final answer
    x = 7,486.85

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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.