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Finding the Fourth Proportional to 20,559.96, 30,798.83 and 9,451.42

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Solution

The fourth proportional to 20,559.96, 30,798.83 and 9,451.42 is: 14,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.96 : 30,798.83 = 9,451.42 : x
  2. Step 2: Convert to fraction form
    20,559.96/30,798.83 = 9,451.42/x
  3. Step 3: Cross multiply
    20,559.96x = 30,798.83 × 9,451.42
  4. Step 4: Simplify right side
    20,559.96x = 291,092,624.47
  5. Step 5: Solve for x
    x = 291,092,624.47/20,559.96
  6. Step 6: Final answer
    x = 14,158.23

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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.