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Finding the Fourth Proportional to 20,912.12, 31,348.93 and 9,058.45

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Solution

The fourth proportional to 20,912.12, 31,348.93 and 9,058.45 is: 13,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912.12 : 31,348.93 = 9,058.45 : x
  2. Step 2: Convert to fraction form
    20,912.12/31,348.93 = 9,058.45/x
  3. Step 3: Cross multiply
    20,912.12x = 31,348.93 × 9,058.45
  4. Step 4: Simplify right side
    20,912.12x = 283,972,512.92
  5. Step 5: Solve for x
    x = 283,972,512.92/20,912.12
  6. Step 6: Final answer
    x = 13,579.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.