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Finding the Fourth Proportional to 24,739.20, 37,113.99 and 8,097.93

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Solution

The fourth proportional to 24,739.20, 37,113.99 and 8,097.93 is: 12,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.20 : 37,113.99 = 8,097.93 : x
  2. Step 2: Convert to fraction form
    24,739.20/37,113.99 = 8,097.93/x
  3. Step 3: Cross multiply
    24,739.20x = 37,113.99 × 8,097.93
  4. Step 4: Simplify right side
    24,739.20x = 300,546,493.04
  5. Step 5: Solve for x
    x = 300,546,493.04/24,739.20
  6. Step 6: Final answer
    x = 12,148.59

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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.