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Finding the Fourth Proportional to 13,561.20, 20,350.44 and 5,770

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Solution

The fourth proportional to 13,561.20, 20,350.44 and 5,770 is: 8,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.20 : 20,350.44 = 5,770 : x
  2. Step 2: Convert to fraction form
    13,561.20/20,350.44 = 5,770/x
  3. Step 3: Cross multiply
    13,561.20x = 20,350.44 × 5,770
  4. Step 4: Simplify right side
    13,561.20x = 117,422,038.80
  5. Step 5: Solve for x
    x = 117,422,038.80/13,561.20
  6. Step 6: Final answer
    x = 8,658.68

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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.