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Finding the Fourth Proportional to 24,924.86, 37,361.05 and 8,280.43

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Solution

The fourth proportional to 24,924.86, 37,361.05 and 8,280.43 is: 12,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924.86 : 37,361.05 = 8,280.43 : x
  2. Step 2: Convert to fraction form
    24,924.86/37,361.05 = 8,280.43/x
  3. Step 3: Cross multiply
    24,924.86x = 37,361.05 × 8,280.43
  4. Step 4: Simplify right side
    24,924.86x = 309,365,445.15
  5. Step 5: Solve for x
    x = 309,365,445.15/24,924.86
  6. Step 6: Final answer
    x = 12,411.92

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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.