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Finding the Fourth Proportional to 20,281.80, 30,398.94 and 9,175.56

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Solution

The fourth proportional to 20,281.80, 30,398.94 and 9,175.56 is: 13,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.80 : 30,398.94 = 9,175.56 : x
  2. Step 2: Convert to fraction form
    20,281.80/30,398.94 = 9,175.56/x
  3. Step 3: Cross multiply
    20,281.80x = 30,398.94 × 9,175.56
  4. Step 4: Simplify right side
    20,281.80x = 278,927,297.91
  5. Step 5: Solve for x
    x = 278,927,297.91/20,281.80
  6. Step 6: Final answer
    x = 13,752.59

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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.