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Finding the Fourth Proportional to 20,523.84, 30,785.73 and 6,672.84

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Solution

The fourth proportional to 20,523.84, 30,785.73 and 6,672.84 is: 10,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.84 : 30,785.73 = 6,672.84 : x
  2. Step 2: Convert to fraction form
    20,523.84/30,785.73 = 6,672.84/x
  3. Step 3: Cross multiply
    20,523.84x = 30,785.73 × 6,672.84
  4. Step 4: Simplify right side
    20,523.84x = 205,428,250.57
  5. Step 5: Solve for x
    x = 205,428,250.57/20,523.84
  6. Step 6: Final answer
    x = 10,009.25

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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.