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Finding the Fourth Proportional to 22,991.70, 31,728.06 and 13,563.30

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Solution

The fourth proportional to 22,991.70, 31,728.06 and 13,563.30 is: 18,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.70 : 31,728.06 = 13,563.30 : x
  2. Step 2: Convert to fraction form
    22,991.70/31,728.06 = 13,563.30/x
  3. Step 3: Cross multiply
    22,991.70x = 31,728.06 × 13,563.30
  4. Step 4: Simplify right side
    22,991.70x = 430,337,196.20
  5. Step 5: Solve for x
    x = 430,337,196.20/22,991.70
  6. Step 6: Final answer
    x = 18,717.07

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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.