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Finding the Fourth Proportional to 20,290.80, 30,435.66 and 9,189.48

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Solution

The fourth proportional to 20,290.80, 30,435.66 and 9,189.48 is: 13,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.80 : 30,435.66 = 9,189.48 : x
  2. Step 2: Convert to fraction form
    20,290.80/30,435.66 = 9,189.48/x
  3. Step 3: Cross multiply
    20,290.80x = 30,435.66 × 9,189.48
  4. Step 4: Simplify right side
    20,290.80x = 279,687,888.86
  5. Step 5: Solve for x
    x = 279,687,888.86/20,290.80
  6. Step 6: Final answer
    x = 13,783.98

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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.