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Finding the Fourth Proportional to 22,991.40, 31,734.18 and 13,563

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Solution

The fourth proportional to 22,991.40, 31,734.18 and 13,563 is: 18,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.40 : 31,734.18 = 13,563 : x
  2. Step 2: Convert to fraction form
    22,991.40/31,734.18 = 13,563/x
  3. Step 3: Cross multiply
    22,991.40x = 31,734.18 × 13,563
  4. Step 4: Simplify right side
    22,991.40x = 430,410,683.34
  5. Step 5: Solve for x
    x = 430,410,683.34/22,991.40
  6. Step 6: Final answer
    x = 18,720.51

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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.