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Finding the Fourth Proportional to 20,535.44, 30,805.32 and 6,495.98

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Solution

The fourth proportional to 20,535.44, 30,805.32 and 6,495.98 is: 9,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.44 : 30,805.32 = 6,495.98 : x
  2. Step 2: Convert to fraction form
    20,535.44/30,805.32 = 6,495.98/x
  3. Step 3: Cross multiply
    20,535.44x = 30,805.32 × 6,495.98
  4. Step 4: Simplify right side
    20,535.44x = 200,110,742.61
  5. Step 5: Solve for x
    x = 200,110,742.61/20,535.44
  6. Step 6: Final answer
    x = 9,744.65

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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.