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Finding the Fourth Proportional to 30,382.92, 41,922.16 and 17,459.69

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Solution

The fourth proportional to 30,382.92, 41,922.16 and 17,459.69 is: 24,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.92 : 41,922.16 = 17,459.69 : x
  2. Step 2: Convert to fraction form
    30,382.92/41,922.16 = 17,459.69/x
  3. Step 3: Cross multiply
    30,382.92x = 41,922.16 × 17,459.69
  4. Step 4: Simplify right side
    30,382.92x = 731,947,917.73
  5. Step 5: Solve for x
    x = 731,947,917.73/30,382.92
  6. Step 6: Final answer
    x = 24,090.77

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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.