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Finding the Fourth Proportional to 20,327.90, 30,491.24 and 9,798.71

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Solution

The fourth proportional to 20,327.90, 30,491.24 and 9,798.71 is: 14,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,327.90 : 30,491.24 = 9,798.71 : x
  2. Step 2: Convert to fraction form
    20,327.90/30,491.24 = 9,798.71/x
  3. Step 3: Cross multiply
    20,327.90x = 30,491.24 × 9,798.71
  4. Step 4: Simplify right side
    20,327.90x = 298,774,616.85
  5. Step 5: Solve for x
    x = 298,774,616.85/20,327.90
  6. Step 6: Final answer
    x = 14,697.76

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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.