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Finding the Fourth Proportional to 17,871.06, 24,662.54 and 9,912.80

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Solution

The fourth proportional to 17,871.06, 24,662.54 and 9,912.80 is: 13,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.06 : 24,662.54 = 9,912.80 : x
  2. Step 2: Convert to fraction form
    17,871.06/24,662.54 = 9,912.80/x
  3. Step 3: Cross multiply
    17,871.06x = 24,662.54 × 9,912.80
  4. Step 4: Simplify right side
    17,871.06x = 244,474,826.51
  5. Step 5: Solve for x
    x = 244,474,826.51/17,871.06
  6. Step 6: Final answer
    x = 13,679.93

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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.