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Finding the Fourth Proportional to 24,664.80, 36,997.55 and 8,024.92

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Solution

The fourth proportional to 24,664.80, 36,997.55 and 8,024.92 is: 12,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.80 : 36,997.55 = 8,024.92 : x
  2. Step 2: Convert to fraction form
    24,664.80/36,997.55 = 8,024.92/x
  3. Step 3: Cross multiply
    24,664.80x = 36,997.55 × 8,024.92
  4. Step 4: Simplify right side
    24,664.80x = 296,902,378.95
  5. Step 5: Solve for x
    x = 296,902,378.95/24,664.80
  6. Step 6: Final answer
    x = 12,037.49

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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.