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Finding the Fourth Proportional to 20,538.70, 30,813.48 and 6,498.97

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Solution

The fourth proportional to 20,538.70, 30,813.48 and 6,498.97 is: 9,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.70 : 30,813.48 = 6,498.97 : x
  2. Step 2: Convert to fraction form
    20,538.70/30,813.48 = 6,498.97/x
  3. Step 3: Cross multiply
    20,538.70x = 30,813.48 × 6,498.97
  4. Step 4: Simplify right side
    20,538.70x = 200,255,805.08
  5. Step 5: Solve for x
    x = 200,255,805.08/20,538.70
  6. Step 6: Final answer
    x = 9,750.17

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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.