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Finding the Fourth Proportional to 30,682.73, 42,341.33 and 17,253.64

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Solution

The fourth proportional to 30,682.73, 42,341.33 and 17,253.64 is: 23,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.73 : 42,341.33 = 17,253.64 : x
  2. Step 2: Convert to fraction form
    30,682.73/42,341.33 = 17,253.64/x
  3. Step 3: Cross multiply
    30,682.73x = 42,341.33 × 17,253.64
  4. Step 4: Simplify right side
    30,682.73x = 730,541,872.82
  5. Step 5: Solve for x
    x = 730,541,872.82/30,682.73
  6. Step 6: Final answer
    x = 23,809.54

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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.