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Finding the Fourth Proportional to 20,338.90, 30,509.66 and 5,546.54

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Solution

The fourth proportional to 20,338.90, 30,509.66 and 5,546.54 is: 8,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.90 : 30,509.66 = 5,546.54 : x
  2. Step 2: Convert to fraction form
    20,338.90/30,509.66 = 5,546.54/x
  3. Step 3: Cross multiply
    20,338.90x = 30,509.66 × 5,546.54
  4. Step 4: Simplify right side
    20,338.90x = 169,223,139.72
  5. Step 5: Solve for x
    x = 169,223,139.72/20,338.90
  6. Step 6: Final answer
    x = 8,320.17

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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.