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Finding the Fourth Proportional to 24,735.91, 37,109.69 and 8,095.88

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Solution

The fourth proportional to 24,735.91, 37,109.69 and 8,095.88 is: 12,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.91 : 37,109.69 = 8,095.88 : x
  2. Step 2: Convert to fraction form
    24,735.91/37,109.69 = 8,095.88/x
  3. Step 3: Cross multiply
    24,735.91x = 37,109.69 × 8,095.88
  4. Step 4: Simplify right side
    24,735.91x = 300,435,463.82
  5. Step 5: Solve for x
    x = 300,435,463.82/24,735.91
  6. Step 6: Final answer
    x = 12,145.72

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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.