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Finding the Fourth Proportional to 30,886.63, 42,623.67 and 16,739.49

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Solution

The fourth proportional to 30,886.63, 42,623.67 and 16,739.49 is: 23,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.63 : 42,623.67 = 16,739.49 : x
  2. Step 2: Convert to fraction form
    30,886.63/42,623.67 = 16,739.49/x
  3. Step 3: Cross multiply
    30,886.63x = 42,623.67 × 16,739.49
  4. Step 4: Simplify right side
    30,886.63x = 713,498,497.73
  5. Step 5: Solve for x
    x = 713,498,497.73/30,886.63
  6. Step 6: Final answer
    x = 23,100.56

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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.