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Finding the Fourth Proportional to 25,861.44, 35,683.20 and 16,922

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Solution

The fourth proportional to 25,861.44, 35,683.20 and 16,922 is: 23,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861.44 : 35,683.20 = 16,922 : x
  2. Step 2: Convert to fraction form
    25,861.44/35,683.20 = 16,922/x
  3. Step 3: Cross multiply
    25,861.44x = 35,683.20 × 16,922
  4. Step 4: Simplify right side
    25,861.44x = 603,831,110.40
  5. Step 5: Solve for x
    x = 603,831,110.40/25,861.44
  6. Step 6: Final answer
    x = 23,348.70

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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.