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Finding the Fourth Proportional to 24,664.50, 36,998.57 and 8,023.25

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Solution

The fourth proportional to 24,664.50, 36,998.57 and 8,023.25 is: 12,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.50 : 36,998.57 = 8,023.25 : x
  2. Step 2: Convert to fraction form
    24,664.50/36,998.57 = 8,023.25/x
  3. Step 3: Cross multiply
    24,664.50x = 36,998.57 × 8,023.25
  4. Step 4: Simplify right side
    24,664.50x = 296,848,889.31
  5. Step 5: Solve for x
    x = 296,848,889.31/24,664.50
  6. Step 6: Final answer
    x = 12,035.47

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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.