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Finding the Fourth Proportional to 24,693.93, 37,049.21 and 7,829.69

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Solution

The fourth proportional to 24,693.93, 37,049.21 and 7,829.69 is: 11,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693.93 : 37,049.21 = 7,829.69 : x
  2. Step 2: Convert to fraction form
    24,693.93/37,049.21 = 7,829.69/x
  3. Step 3: Cross multiply
    24,693.93x = 37,049.21 × 7,829.69
  4. Step 4: Simplify right side
    24,693.93x = 290,083,604.65
  5. Step 5: Solve for x
    x = 290,083,604.65/24,693.93
  6. Step 6: Final answer
    x = 11,747.16

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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.