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Finding the Fourth Proportional to 24,930.86, 37,396 and 7,161.95

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Solution

The fourth proportional to 24,930.86, 37,396 and 7,161.95 is: 10,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,930.86 : 37,396 = 7,161.95 : x
  2. Step 2: Convert to fraction form
    24,930.86/37,396 = 7,161.95/x
  3. Step 3: Cross multiply
    24,930.86x = 37,396 × 7,161.95
  4. Step 4: Simplify right side
    24,930.86x = 267,828,375.69
  5. Step 5: Solve for x
    x = 267,828,375.69/24,930.86
  6. Step 6: Final answer
    x = 10,742.85

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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.