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Finding the Fourth Proportional to 30,405.12, 41,958.72 and 17,665.68

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Solution

The fourth proportional to 30,405.12, 41,958.72 and 17,665.68 is: 24,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.12 : 41,958.72 = 17,665.68 : x
  2. Step 2: Convert to fraction form
    30,405.12/41,958.72 = 17,665.68/x
  3. Step 3: Cross multiply
    30,405.12x = 41,958.72 × 17,665.68
  4. Step 4: Simplify right side
    30,405.12x = 741,229,320.73
  5. Step 5: Solve for x
    x = 741,229,320.73/30,405.12
  6. Step 6: Final answer
    x = 24,378.44

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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.