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Finding the Fourth Proportional to 30,986.34, 42,761.61 and 16,839.20

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Solution

The fourth proportional to 30,986.34, 42,761.61 and 16,839.20 is: 23,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.34 : 42,761.61 = 16,839.20 : x
  2. Step 2: Convert to fraction form
    30,986.34/42,761.61 = 16,839.20/x
  3. Step 3: Cross multiply
    30,986.34x = 42,761.61 × 16,839.20
  4. Step 4: Simplify right side
    30,986.34x = 720,071,089.30
  5. Step 5: Solve for x
    x = 720,071,089.30/30,986.34
  6. Step 6: Final answer
    x = 23,238.34

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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.