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Finding the Fourth Proportional to 24,515.56, 36,773.34 and 7,876.94

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Solution

The fourth proportional to 24,515.56, 36,773.34 and 7,876.94 is: 11,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.56 : 36,773.34 = 7,876.94 : x
  2. Step 2: Convert to fraction form
    24,515.56/36,773.34 = 7,876.94/x
  3. Step 3: Cross multiply
    24,515.56x = 36,773.34 × 7,876.94
  4. Step 4: Simplify right side
    24,515.56x = 289,661,353.39
  5. Step 5: Solve for x
    x = 289,661,353.39/24,515.56
  6. Step 6: Final answer
    x = 11,815.41

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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.