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Finding the Fourth Proportional to 30,703.97, 42,365.09 and 17,954.68

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Solution

The fourth proportional to 30,703.97, 42,365.09 and 17,954.68 is: 24,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.97 : 42,365.09 = 17,954.68 : x
  2. Step 2: Convert to fraction form
    30,703.97/42,365.09 = 17,954.68/x
  3. Step 3: Cross multiply
    30,703.97x = 42,365.09 × 17,954.68
  4. Step 4: Simplify right side
    30,703.97x = 760,651,634.12
  5. Step 5: Solve for x
    x = 760,651,634.12/30,703.97
  6. Step 6: Final answer
    x = 24,773.72

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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.