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Finding the Fourth Proportional to 23,160, 34,741.92 and 6,744

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Solution

The fourth proportional to 23,160, 34,741.92 and 6,744 is: 10,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160 : 34,741.92 = 6,744 : x
  2. Step 2: Convert to fraction form
    23,160/34,741.92 = 6,744/x
  3. Step 3: Cross multiply
    23,160x = 34,741.92 × 6,744
  4. Step 4: Simplify right side
    23,160x = 234,299,508.48
  5. Step 5: Solve for x
    x = 234,299,508.48/23,160
  6. Step 6: Final answer
    x = 10,116.56

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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.