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Finding the Fourth Proportional to 15,829.70, 23,755.14 and 8,439.26

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Solution

The fourth proportional to 15,829.70, 23,755.14 and 8,439.26 is: 12,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.70 : 23,755.14 = 8,439.26 : x
  2. Step 2: Convert to fraction form
    15,829.70/23,755.14 = 8,439.26/x
  3. Step 3: Cross multiply
    15,829.70x = 23,755.14 × 8,439.26
  4. Step 4: Simplify right side
    15,829.70x = 200,475,684.02
  5. Step 5: Solve for x
    x = 200,475,684.02/15,829.70
  6. Step 6: Final answer
    x = 12,664.53

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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.