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Finding the Fourth Proportional to 20,559.80, 30,830.70 and 9,462.80

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Solution

The fourth proportional to 20,559.80, 30,830.70 and 9,462.80 is: 14,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.80 : 30,830.70 = 9,462.80 : x
  2. Step 2: Convert to fraction form
    20,559.80/30,830.70 = 9,462.80/x
  3. Step 3: Cross multiply
    20,559.80x = 30,830.70 × 9,462.80
  4. Step 4: Simplify right side
    20,559.80x = 291,744,747.96
  5. Step 5: Solve for x
    x = 291,744,747.96/20,559.80
  6. Step 6: Final answer
    x = 14,190.06

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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.