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Finding the Fourth Proportional to 20,443.98, 30,668.49 and 7,297.74

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Solution

The fourth proportional to 20,443.98, 30,668.49 and 7,297.74 is: 10,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.98 : 30,668.49 = 7,297.74 : x
  2. Step 2: Convert to fraction form
    20,443.98/30,668.49 = 7,297.74/x
  3. Step 3: Cross multiply
    20,443.98x = 30,668.49 × 7,297.74
  4. Step 4: Simplify right side
    20,443.98x = 223,810,666.21
  5. Step 5: Solve for x
    x = 223,810,666.21/20,443.98
  6. Step 6: Final answer
    x = 10,947.51

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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.