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Finding the Fourth Proportional to 15,942.60, 23,885.10 and 13,638.60

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Solution

The fourth proportional to 15,942.60, 23,885.10 and 13,638.60 is: 20,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.60 : 23,885.10 = 13,638.60 : x
  2. Step 2: Convert to fraction form
    15,942.60/23,885.10 = 13,638.60/x
  3. Step 3: Cross multiply
    15,942.60x = 23,885.10 × 13,638.60
  4. Step 4: Simplify right side
    15,942.60x = 325,759,324.86
  5. Step 5: Solve for x
    x = 325,759,324.86/15,942.60
  6. Step 6: Final answer
    x = 20,433.26

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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.