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Finding the Fourth Proportional to 15,842.70, 23,755.20 and 6,489.24

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Solution

The fourth proportional to 15,842.70, 23,755.20 and 6,489.24 is: 9,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.70 : 23,755.20 = 6,489.24 : x
  2. Step 2: Convert to fraction form
    15,842.70/23,755.20 = 6,489.24/x
  3. Step 3: Cross multiply
    15,842.70x = 23,755.20 × 6,489.24
  4. Step 4: Simplify right side
    15,842.70x = 154,153,194.05
  5. Step 5: Solve for x
    x = 154,153,194.05/15,842.70
  6. Step 6: Final answer
    x = 9,730.24

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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.