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Finding the Fourth Proportional to 24,949.86, 37,430.78 and 8,310.05

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Solution

The fourth proportional to 24,949.86, 37,430.78 and 8,310.05 is: 12,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.86 : 37,430.78 = 8,310.05 : x
  2. Step 2: Convert to fraction form
    24,949.86/37,430.78 = 8,310.05/x
  3. Step 3: Cross multiply
    24,949.86x = 37,430.78 × 8,310.05
  4. Step 4: Simplify right side
    24,949.86x = 311,051,424.63
  5. Step 5: Solve for x
    x = 311,051,424.63/24,949.86
  6. Step 6: Final answer
    x = 12,467.06

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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.