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Finding the Fourth Proportional to 24,978.15, 37,463.81 and 8,337.80

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Solution

The fourth proportional to 24,978.15, 37,463.81 and 8,337.80 is: 12,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.15 : 37,463.81 = 8,337.80 : x
  2. Step 2: Convert to fraction form
    24,978.15/37,463.81 = 8,337.80/x
  3. Step 3: Cross multiply
    24,978.15x = 37,463.81 × 8,337.80
  4. Step 4: Simplify right side
    24,978.15x = 312,365,806.99
  5. Step 5: Solve for x
    x = 312,365,806.99/24,978.15
  6. Step 6: Final answer
    x = 12,505.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.