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Finding the Fourth Proportional to 24,876, 37,326.96 and 11,021.76

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Solution

The fourth proportional to 24,876, 37,326.96 and 11,021.76 is: 16,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 37,326.96 = 11,021.76 : x
  2. Step 2: Convert to fraction form
    24,876/37,326.96 = 11,021.76/x
  3. Step 3: Cross multiply
    24,876x = 37,326.96 × 11,021.76
  4. Step 4: Simplify right side
    24,876x = 411,408,794.65
  5. Step 5: Solve for x
    x = 411,408,794.65/24,876
  6. Step 6: Final answer
    x = 16,538.38

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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.