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Finding the Fourth Proportional to 20,551.74, 30,824.37 and 6,697.50

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Solution

The fourth proportional to 20,551.74, 30,824.37 and 6,697.50 is: 10,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.74 : 30,824.37 = 6,697.50 : x
  2. Step 2: Convert to fraction form
    20,551.74/30,824.37 = 6,697.50/x
  3. Step 3: Cross multiply
    20,551.74x = 30,824.37 × 6,697.50
  4. Step 4: Simplify right side
    20,551.74x = 206,446,218.08
  5. Step 5: Solve for x
    x = 206,446,218.08/20,551.74
  6. Step 6: Final answer
    x = 10,045.19

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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.