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Finding the Fourth Proportional to 20,538.44, 30,809.82 and 6,500.40

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Solution

The fourth proportional to 20,538.44, 30,809.82 and 6,500.40 is: 9,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.44 : 30,809.82 = 6,500.40 : x
  2. Step 2: Convert to fraction form
    20,538.44/30,809.82 = 6,500.40/x
  3. Step 3: Cross multiply
    20,538.44x = 30,809.82 × 6,500.40
  4. Step 4: Simplify right side
    20,538.44x = 200,276,199.51
  5. Step 5: Solve for x
    x = 200,276,199.51/20,538.44
  6. Step 6: Final answer
    x = 9,751.29

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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.