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Finding the Fourth Proportional to 24,963.69, 37,441.46 and 8,323.86

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Solution

The fourth proportional to 24,963.69, 37,441.46 and 8,323.86 is: 12,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,963.69 : 37,441.46 = 8,323.86 : x
  2. Step 2: Convert to fraction form
    24,963.69/37,441.46 = 8,323.86/x
  3. Step 3: Cross multiply
    24,963.69x = 37,441.46 × 8,323.86
  4. Step 4: Simplify right side
    24,963.69x = 311,657,471.24
  5. Step 5: Solve for x
    x = 311,657,471.24/24,963.69
  6. Step 6: Final answer
    x = 12,484.43

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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.