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Finding the Fourth Proportional to 30,843.69, 42,563.92 and 17,415.51

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Solution

The fourth proportional to 30,843.69, 42,563.92 and 17,415.51 is: 24,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.69 : 42,563.92 = 17,415.51 : x
  2. Step 2: Convert to fraction form
    30,843.69/42,563.92 = 17,415.51/x
  3. Step 3: Cross multiply
    30,843.69x = 42,563.92 × 17,415.51
  4. Step 4: Simplify right side
    30,843.69x = 741,272,374.40
  5. Step 5: Solve for x
    x = 741,272,374.40/30,843.69
  6. Step 6: Final answer
    x = 24,033.19

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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.