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Finding the Fourth Proportional to 22,297.40, 30,780.32 and 14,241.62

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Solution

The fourth proportional to 22,297.40, 30,780.32 and 14,241.62 is: 19,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.40 : 30,780.32 = 14,241.62 : x
  2. Step 2: Convert to fraction form
    22,297.40/30,780.32 = 14,241.62/x
  3. Step 3: Cross multiply
    22,297.40x = 30,780.32 × 14,241.62
  4. Step 4: Simplify right side
    22,297.40x = 438,361,620.92
  5. Step 5: Solve for x
    x = 438,361,620.92/22,297.40
  6. Step 6: Final answer
    x = 19,659.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.